Let us set some global options for all code chunks in this document.

knitr::opts_chunk$set(
  message = FALSE,    # Disable messages printed by R code chunks
  warning = FALSE,    # Disable warnings printed by R code chunks
  echo = TRUE,        # Show R code within code chunks in output
  include = TRUE,     # Include both R code and its results in output
  eval = TRUE,       # Evaluate R code chunks
  cache = FALSE,       # Enable caching of R code chunks for faster rendering
  fig.align = "center",
  out.width = "100%",
  retina = 2,
  error = TRUE,
  collapse = TRUE
)
rm(list = ls())
set.seed(1982)

1 Preprocessing

Let us now load some required libraries.

# Load required libraries

# inla.upgrade(testing = TRUE)
# remotes::install_github("inlabru-org/inlabru", ref = "devel")
# remotes::install_github("davidbolin/rspde", ref = "devel")
# remotes::install_github("davidbolin/metricgraph", ref = "devel")
# remotes::install_github("davidbolin/ngme2", ref = "devel")

library(INLA)
#inla.setOption(num.threads = 7)
library(inlabru)
library(rSPDE)
library(MetricGraph)
library(ngme2)

library(plotly)
library(dplyr)

library(sf)

library(here)

Function standarize() below is later used to standardize the covariate SpeedLimit.

standardize <- function(x) {return((x - mean(x)) / sd(x))}

To keep track of the changes, we provide summaries of every new created object. Those summaries can be accessed by pressing the Show buttons below


We load the graph object sf_graph (which only contains weights) and the data (already graph-processed).

timeallprocedure <- Sys.time()
load(here("Graph_objects/graph_construction_19MAY24_FRC0134.RData"))
load(here("Data_files/data_day7142128_hour13_with_no_consecutive_zeros_19MAY24_FRC0134_graph_processed.RData"))
data_on_graph = data_on_graph %>% 
  dplyr::select(-datetime)

We check the units of the graph.

sf_graph$get_edge_lengths() %>% head() %>% capture.output() %>% grep("^Units:", ., value = TRUE)
## [1] "Units: [km]"
summary(sf_graph)
## A metric graph object with:
## 
## Vertices:
##   Total: 8781 
##   Degree 1: 15;  Degree 2: 6409;  Degree 3: 343;  Degree 4: 1842;  Degree 5: 58; 
##   Degree 6: 111;  Degree 7: 2;  Degree 8: 1; 
##   With incompatible directions:  0 
## 
## Edges: 
##   Total: 11104 
##   Lengths: 
##       Min: 0.00283468  ; Max: 1.480513  ; Total: 505.6148 
##   Weights: 
##       Columns: Length FRC SpeedLimit StreetName harmonicAverageSpeed medianSpeed averageSpeed sampleSize averageTravelTime medianTravelTime travelTimeRatio List_Number 5percentile 10percentile 15percentile 20percentile 25percentile 30percentile 35percentile 40percentile 45percentile 50percentile 55percentile 60percentile 65percentile 70percentile 75percentile 80percentile 85percentile 90percentile 95percentile road_type class_4 class_0 class_3 class_1 upto1 upto3 upto4 density density_per_hour 
##   That are circles:  0 
## 
## Graph units: 
##   Vertices unit:  degrees  ; Lengths unit:  km 
## 
## Longitude and Latitude coordinates:  TRUE
##   Which spatial package:  sf 
##   CRS:  EPSG:4326
## 
## Some characteristics of the graph:
##   Connected: TRUE
##   Has loops: FALSE
##   Has multiple edges: TRUE
##   Is a tree: FALSE
##   Distance consistent: FALSE
##   Has Euclidean edges: FALSE
## 
## Computed quantities inside the graph: 
##   Laplacian:  FALSE  ; Geodesic distances:  TRUE 
##   Resistance distances:  FALSE  ; Finite element matrices:  FALSE 
## 
## Mesh: The graph has no mesh! 
## 
## Data: The graph has no data!
## 
## Tolerances: 
##   vertex-vertex:  0.001 
##   vertex-edge:  0.001 
##   edge-edge:  0
summary(data_on_graph)
##        ID           speed              day       .distance_to_graph
##  Min.   :5701   Min.   :  0.000   Min.   :1.00   Min.   :0.000000  
##  1st Qu.:6592   1st Qu.:  1.609   1st Qu.:2.00   1st Qu.:0.001832  
##  Median :6712   Median : 17.703   Median :3.00   Median :0.004032  
##  Mean   :7378   Mean   : 20.107   Mean   :2.55   Mean   :0.004937  
##  3rd Qu.:8739   3rd Qu.: 30.577   3rd Qu.:4.00   3rd Qu.:0.006952  
##  Max.   :8969   Max.   :114.263   Max.   :4.00   Max.   :0.019993  
##   .edge_number   .distance_on_edge    .group             .coord_x     
##  Min.   :    1   Min.   :0.0000    Length:75899       Min.   :-122.5  
##  1st Qu.: 2347   1st Qu.:0.2586    Class :character   1st Qu.:-122.4  
##  Median : 4733   Median :0.5133    Mode  :character   Median :-122.4  
##  Mean   : 4968   Mean   :0.5067                       Mean   :-122.4  
##  3rd Qu.: 7639   3rd Qu.:0.7609                       3rd Qu.:-122.4  
##  Max.   :11104   Max.   :1.0000                       Max.   :-122.4  
##     .coord_y    
##  Min.   :37.70  
##  1st Qu.:37.74  
##  Median :37.77  
##  Mean   :37.76  
##  3rd Qu.:37.78  
##  Max.   :37.81

The following commands remove zero speed observations that are 1m away from the graph, and after that, they remove any speed observations that are 3m away from the graph.

to_remove = data_on_graph %>%
  filter(speed == 0, .distance_to_graph > 0.001) 

data_on_graph = setdiff(data_on_graph, to_remove) %>% 
  filter(.distance_to_graph <= 0.003)
summary(to_remove)
##        ID           speed        day        .distance_to_graph  .edge_number  
##  Min.   :5701   Min.   :0   Min.   :1.000   Min.   :0.001000   Min.   :    1  
##  1st Qu.:6588   1st Qu.:0   1st Qu.:2.000   1st Qu.:0.003133   1st Qu.: 2390  
##  Median :6702   Median :0   Median :3.000   Median :0.005536   Median : 4646  
##  Mean   :7312   Mean   :0   Mean   :2.556   Mean   :0.006552   Mean   : 4912  
##  3rd Qu.:8713   3rd Qu.:0   3rd Qu.:4.000   3rd Qu.:0.008880   3rd Qu.: 7550  
##  Max.   :8969   Max.   :0   Max.   :4.000   Max.   :0.019988   Max.   :11096  
##  .distance_on_edge    .group             .coord_x         .coord_y    
##  Min.   :0.0000    Length:15402       Min.   :-122.5   Min.   :37.70  
##  1st Qu.:0.2888    Class :character   1st Qu.:-122.4   1st Qu.:37.74  
##  Median :0.5322    Mode  :character   Median :-122.4   Median :37.77  
##  Mean   :0.5156                       Mean   :-122.4   Mean   :37.76  
##  3rd Qu.:0.7568                       3rd Qu.:-122.4   3rd Qu.:37.78  
##  Max.   :1.0000                       Max.   :-122.4   Max.   :37.81
summary(data_on_graph)
##        ID           speed             day        .distance_to_graph 
##  Min.   :5701   Min.   :  0.00   Min.   :1.000   Min.   :0.0000000  
##  1st Qu.:6589   1st Qu.: 12.87   1st Qu.:2.000   1st Qu.:0.0005897  
##  Median :6728   Median : 24.14   Median :3.000   Median :0.0012698  
##  Mean   :7485   Mean   : 25.98   Mean   :2.542   Mean   :0.0013554  
##  3rd Qu.:8769   3rd Qu.: 35.41   3rd Qu.:4.000   3rd Qu.:0.0020959  
##  Max.   :8969   Max.   :114.26   Max.   :4.000   Max.   :0.0029999  
##   .edge_number   .distance_on_edge    .group             .coord_x     
##  Min.   :    1   Min.   :0.0000    Length:25843       Min.   :-122.5  
##  1st Qu.: 2078   1st Qu.:0.2631    Class :character   1st Qu.:-122.5  
##  Median : 4558   Median :0.5218    Mode  :character   Median :-122.4  
##  Mean   : 4839   Mean   :0.5137                       Mean   :-122.4  
##  3rd Qu.: 7548   3rd Qu.:0.7700                       3rd Qu.:-122.4  
##  Max.   :11104   Max.   :0.9998                       Max.   :-122.4  
##     .coord_y    
##  Min.   :37.70  
##  1st Qu.:37.74  
##  Median :37.76  
##  Mean   :37.76  
##  3rd Qu.:37.78  
##  Max.   :37.81

We add data to the graph.

sf_graph$add_observations(data = data_on_graph, 
                          group = "day", 
                          normalized = TRUE, 
                          clear_obs = TRUE)
sf_graph$get_data()
## # A tibble: 25,842 × 9
##       ID speed   day .distance_to_graph .coord_x .coord_y .edge_number
##    <int> <dbl> <dbl>              <dbl>    <dbl>    <dbl>        <dbl>
##  1  8969  99.8     1           0.000426    -122.     37.7            2
##  2  6588  91.7     1           0.00206     -122.     37.7            2
##  3  8848  99.8     1           0.00256     -122.     37.7            2
##  4  6677  14.5     1           0.000436    -122.     37.8            3
##  5  6532  16.1     1           0.00226     -122.     37.8            3
##  6  6686  25.7     1           0.000499    -122.     37.8            3
##  7  6570  17.7     1           0.00252     -122.     37.8            5
##  8  6677  29.0     1           0.00222     -122.     37.8            6
##  9  6657  24.1     1           0.00203     -122.     37.8            6
## 10  6576  17.7     1           0.000274    -122.     37.8            6
## # ℹ 25,832 more rows
## # ℹ 2 more variables: .distance_on_edge <dbl>, .group <chr>
summary(sf_graph)
## A metric graph object with:
## 
## Vertices:
##   Total: 8781 
##   Degree 1: 15;  Degree 2: 6409;  Degree 3: 343;  Degree 4: 1842;  Degree 5: 58; 
##   Degree 6: 111;  Degree 7: 2;  Degree 8: 1; 
##   With incompatible directions:  0 
## 
## Edges: 
##   Total: 11104 
##   Lengths: 
##       Min: 0.00283468  ; Max: 1.480513  ; Total: 505.6148 
##   Weights: 
##       Columns: Length FRC SpeedLimit StreetName harmonicAverageSpeed medianSpeed averageSpeed sampleSize averageTravelTime medianTravelTime travelTimeRatio List_Number 5percentile 10percentile 15percentile 20percentile 25percentile 30percentile 35percentile 40percentile 45percentile 50percentile 55percentile 60percentile 65percentile 70percentile 75percentile 80percentile 85percentile 90percentile 95percentile road_type class_4 class_0 class_3 class_1 upto1 upto3 upto4 density density_per_hour 
##   That are circles:  0 
## 
## Graph units: 
##   Vertices unit:  degrees  ; Lengths unit:  km 
## 
## Longitude and Latitude coordinates:  TRUE
##   Which spatial package:  sf 
##   CRS:  EPSG:4326
## 
## Some characteristics of the graph:
##   Connected: TRUE
##   Has loops: FALSE
##   Has multiple edges: TRUE
##   Is a tree: FALSE
##   Distance consistent: FALSE
##   Has Euclidean edges: FALSE
## 
## Computed quantities inside the graph: 
##   Laplacian:  FALSE  ; Geodesic distances:  TRUE 
##   Resistance distances:  FALSE  ; Finite element matrices:  FALSE 
## 
## Mesh: The graph has no mesh! 
## 
## Data: 
##   Columns:  ID speed day 
##   Groups:  .group 
## 
## Tolerances: 
##   vertex-vertex:  0.001 
##   vertex-edge:  0.001 
##   edge-edge:  0

We get the values of the weights at data locations. This essentially gives us covariates from the weights.

sf_graph$edgeweight_to_data(data_loc = TRUE)
sf_graph$get_data()
## # A tibble: 101,616 × 50
##       ID speed   day .distance_to_graph Length FRC   SpeedLimit StreetName
##    <int> <dbl> <dbl>              <dbl>  <dbl> <chr>      <dbl> <chr>     
##  1    NA  NA      NA          NA        0.0826 4             40 16th St   
##  2    NA  NA      NA          NA        0.0826 4             40 16th St   
##  3    NA  NA      NA          NA        0.0826 4             40 16th St   
##  4    NA  NA      NA          NA        0.0826 4             40 16th St   
##  5  8969  99.8     1           0.000426 0.137  0            105 I-280 N   
##  6  6588  91.7     1           0.00206  0.137  0            105 I-280 N   
##  7  8848  99.8     1           0.00256  0.137  0            105 I-280 N   
##  8    NA  NA      NA          NA        0.137  0            105 I-280 N   
##  9    NA  NA      NA          NA        0.137  0            105 I-280 N   
## 10    NA  NA      NA          NA        0.137  0            105 I-280 N   
## # ℹ 101,606 more rows
## # ℹ 42 more variables: harmonicAverageSpeed <dbl>, medianSpeed <dbl>,
## #   averageSpeed <dbl>, sampleSize <int>, averageTravelTime <dbl>,
## #   medianTravelTime <dbl>, travelTimeRatio <dbl>, List_Number <int>,
## #   `5percentile` <int>, `10percentile` <int>, `15percentile` <int>,
## #   `20percentile` <int>, `25percentile` <int>, `30percentile` <int>,
## #   `35percentile` <int>, `40percentile` <int>, `45percentile` <int>, …
summary(sf_graph)
## A metric graph object with:
## 
## Vertices:
##   Total: 8781 
##   Degree 1: 15;  Degree 2: 6409;  Degree 3: 343;  Degree 4: 1842;  Degree 5: 58; 
##   Degree 6: 111;  Degree 7: 2;  Degree 8: 1; 
##   With incompatible directions:  0 
## 
## Edges: 
##   Total: 11104 
##   Lengths: 
##       Min: 0.00283468  ; Max: 1.480513  ; Total: 505.6148 
##   Weights: 
##       Columns: Length FRC SpeedLimit StreetName harmonicAverageSpeed medianSpeed averageSpeed sampleSize averageTravelTime medianTravelTime travelTimeRatio List_Number 5percentile 10percentile 15percentile 20percentile 25percentile 30percentile 35percentile 40percentile 45percentile 50percentile 55percentile 60percentile 65percentile 70percentile 75percentile 80percentile 85percentile 90percentile 95percentile road_type class_4 class_0 class_3 class_1 upto1 upto3 upto4 density density_per_hour 
##   That are circles:  0 
## 
## Graph units: 
##   Vertices unit:  degrees  ; Lengths unit:  km 
## 
## Longitude and Latitude coordinates:  TRUE
##   Which spatial package:  sf 
##   CRS:  EPSG:4326
## 
## Some characteristics of the graph:
##   Connected: TRUE
##   Has loops: FALSE
##   Has multiple edges: TRUE
##   Is a tree: FALSE
##   Distance consistent: FALSE
##   Has Euclidean edges: FALSE
## 
## Computed quantities inside the graph: 
##   Laplacian:  FALSE  ; Geodesic distances:  TRUE 
##   Resistance distances:  FALSE  ; Finite element matrices:  FALSE 
## 
## Mesh: The graph has no mesh! 
## 
## Data: 
##   Columns:  ID speed day Length FRC SpeedLimit StreetName harmonicAverageSpeed medianSpeed averageSpeed sampleSize averageTravelTime medianTravelTime travelTimeRatio List_Number 5percentile 10percentile 15percentile 20percentile 25percentile 30percentile 35percentile 40percentile 45percentile 50percentile 55percentile 60percentile 65percentile 70percentile 75percentile 80percentile 85percentile 90percentile 95percentile road_type class_4 class_0 class_3 class_1 upto1 upto3 upto4 density density_per_hour 
##   Groups:  .group 
## 
## Tolerances: 
##   vertex-vertex:  0.001 
##   vertex-edge:  0.001 
##   edge-edge:  0

When running sf_graph$edgeweight_to_data(data_loc = TRUE), some NA values are created (because the data is grouped). We remove them below. We also standardize the SpeedLimit covariate.

data = sf_graph$get_data() %>% 
  drop_na(-StreetName) %>% # this drops all rows with at least one NA value but without taking into account StreetName
  mutate(across(c("SpeedLimit"), ~standardize(.))) %>%
  dplyr::select(speed, SpeedLimit)

The code of chunk below was executed only one time.


{r, eval = FALSE}
aux = data |>
  rename(distance_on_edge = .distance_on_edge, edge_number = .edge_number) |>
  as.data.frame() |>
  dplyr::select(edge_number, distance_on_edge, .group)

distmatrixlist = list()

for (i in 1:4) {
  distmatrixlist[[i]] = sf_graph$compute_geodist_PtE(PtE = aux %>% 
                                                       filter(.group == as.character(i)) %>% 
                                                       dplyr::select(-.group),
                                                     normalized = TRUE,
                                                     include_vertices = FALSE)
}


save(distmatrixlist, file = here("Models_output/distmatrixfixed_19May24.RData"))

The code of chunk above was executed only one time.


summary(data)
##      speed          SpeedLimit         .group           .edge_number  
##  Min.   :  0.00   Min.   :-2.0263   Length:25842       Min.   :    1  
##  1st Qu.: 12.87   1st Qu.:-0.4784   Class :character   1st Qu.: 2078  
##  Median : 24.14   Median :-0.4784   Mode  :character   Median : 4558  
##  Mean   : 25.98   Mean   : 0.0000                      Mean   : 4839  
##  3rd Qu.: 35.41   3rd Qu.: 0.0844                      3rd Qu.: 7548  
##  Max.   :114.26   Max.   : 4.0947                      Max.   :11104  
##  .distance_on_edge    .coord_x         .coord_y    
##  Min.   :0.0000    Min.   :-122.5   Min.   :37.70  
##  1st Qu.:0.2631    1st Qu.:-122.5   1st Qu.:37.74  
##  Median :0.5218    Median :-122.4   Median :37.76  
##  Mean   :0.5137    Mean   :-122.4   Mean   :37.76  
##  3rd Qu.:0.7700    3rd Qu.:-122.4   3rd Qu.:37.78  
##  Max.   :0.9998    Max.   :-122.4   Max.   :37.81

We add the data again but now with the new standardized SpeedLimit covariate.

sf_graph$add_observations(data = data, 
                          group = "day", 
                          normalized = TRUE, 
                          clear_obs = TRUE)
sf_graph$get_data()
## # A tibble: 25,842 × 7
##    speed SpeedLimit .coord_x .coord_y .edge_number .distance_on_edge .group
##    <dbl>      <dbl>    <dbl>    <dbl>        <dbl>             <dbl> <chr> 
##  1  99.8       4.09    -122.     37.7            2            0.195  1     
##  2  91.7       4.09    -122.     37.7            2            0.227  1     
##  3  99.8       4.09    -122.     37.7            2            0.363  1     
##  4  14.5      -1.04    -122.     37.8            3            0.309  1     
##  5  16.1      -1.04    -122.     37.8            3            0.583  1     
##  6  25.7      -1.04    -122.     37.8            3            0.925  1     
##  7  17.7      -1.04    -122.     37.8            5            0.0567 1     
##  8  29.0      -1.04    -122.     37.8            6            0.129  1     
##  9  24.1      -1.04    -122.     37.8            6            0.612  1     
## 10  17.7      -1.04    -122.     37.8            6            0.755  1     
## # ℹ 25,832 more rows
summary(sf_graph)
## A metric graph object with:
## 
## Vertices:
##   Total: 8781 
##   Degree 1: 15;  Degree 2: 6409;  Degree 3: 343;  Degree 4: 1842;  Degree 5: 58; 
##   Degree 6: 111;  Degree 7: 2;  Degree 8: 1; 
##   With incompatible directions:  0 
## 
## Edges: 
##   Total: 11104 
##   Lengths: 
##       Min: 0.00283468  ; Max: 1.480513  ; Total: 505.6148 
##   Weights: 
##       Columns: Length FRC SpeedLimit StreetName harmonicAverageSpeed medianSpeed averageSpeed sampleSize averageTravelTime medianTravelTime travelTimeRatio List_Number 5percentile 10percentile 15percentile 20percentile 25percentile 30percentile 35percentile 40percentile 45percentile 50percentile 55percentile 60percentile 65percentile 70percentile 75percentile 80percentile 85percentile 90percentile 95percentile road_type class_4 class_0 class_3 class_1 upto1 upto3 upto4 density density_per_hour 
##   That are circles:  0 
## 
## Graph units: 
##   Vertices unit:  degrees  ; Lengths unit:  km 
## 
## Longitude and Latitude coordinates:  TRUE
##   Which spatial package:  sf 
##   CRS:  EPSG:4326
## 
## Some characteristics of the graph:
##   Connected: TRUE
##   Has loops: FALSE
##   Has multiple edges: TRUE
##   Is a tree: FALSE
##   Distance consistent: FALSE
##   Has Euclidean edges: FALSE
## 
## Computed quantities inside the graph: 
##   Laplacian:  FALSE  ; Geodesic distances:  TRUE 
##   Resistance distances:  FALSE  ; Finite element matrices:  FALSE 
## 
## Mesh: The graph has no mesh! 
## 
## Data: 
##   Columns:  speed SpeedLimit 
##   Groups:  .group 
## 
## Tolerances: 
##   vertex-vertex:  0.001 
##   vertex-edge:  0.001 
##   edge-edge:  0

We build a mesh.

h = 0.05
sf_graph$build_mesh(h = h)
summary(sf_graph)
## A metric graph object with:
## 
## Vertices:
##   Total: 8781 
##   Degree 1: 15;  Degree 2: 6409;  Degree 3: 343;  Degree 4: 1842;  Degree 5: 58; 
##   Degree 6: 111;  Degree 7: 2;  Degree 8: 1; 
##   With incompatible directions:  0 
## 
## Edges: 
##   Total: 11104 
##   Lengths: 
##       Min: 0.00283468  ; Max: 1.480513  ; Total: 505.6148 
##   Weights: 
##       Columns: Length FRC SpeedLimit StreetName harmonicAverageSpeed medianSpeed averageSpeed sampleSize averageTravelTime medianTravelTime travelTimeRatio List_Number 5percentile 10percentile 15percentile 20percentile 25percentile 30percentile 35percentile 40percentile 45percentile 50percentile 55percentile 60percentile 65percentile 70percentile 75percentile 80percentile 85percentile 90percentile 95percentile road_type class_4 class_0 class_3 class_1 upto1 upto3 upto4 density density_per_hour 
##   That are circles:  0 
## 
## Graph units: 
##   Vertices unit:  degrees  ; Lengths unit:  km 
## 
## Longitude and Latitude coordinates:  TRUE
##   Which spatial package:  sf 
##   CRS:  EPSG:4326
## 
## Some characteristics of the graph:
##   Connected: TRUE
##   Has loops: FALSE
##   Has multiple edges: TRUE
##   Is a tree: FALSE
##   Distance consistent: FALSE
##   Has Euclidean edges: FALSE
## 
## Computed quantities inside the graph: 
##   Laplacian:  FALSE  ; Geodesic distances:  TRUE 
##   Resistance distances:  FALSE  ; Finite element matrices:  FALSE 
## 
## Mesh: 
##   Max h_e:  0.04999869  ; Min n_e:  0 
## 
## Data: 
##   Columns:  speed SpeedLimit 
##   Groups:  .group 
## 
## Tolerances: 
##   vertex-vertex:  0.001 
##   vertex-edge:  0.001 
##   edge-edge:  0

We get the value of the weights at mesh locations. This will allow us to built matrices B.sigma and B.range below. Again, sf_graph$edgeweight_to_data(mesh = TRUE, add = FALSE, return = TRUE) creates repeated information (because the data is grouped). We fix that by filtering one group. We also standardize the SpeedLimit covariate.

mesh = sf_graph$edgeweight_to_data(mesh = TRUE, 
                                   add = FALSE, 
                                   return = TRUE) %>% 
  filter(.group == 1) %>%
  mutate(across(c("SpeedLimit"), ~standardize(.))) %>%
  dplyr:::select.data.frame(SpeedLimit)
summary(mesh)
##    SpeedLimit      
##  Min.   :-1.91072  
##  1st Qu.:-0.76409  
##  Median :-0.34714  
##  Mean   : 0.00000  
##  3rd Qu.: 0.06981  
##  Max.   : 2.62366

1.1 Stationary model

  • Observe that we are considering replicates.
stat.time.ini <- Sys.time()
################################################################################
################################# STATIONARY MODEL #############################
################################################################################

rspde_model_stat <- rspde.metric_graph(sf_graph,
                                         parameterization = "matern",
                                         nu.upper.bound = 1.5)
str(rspde_model_stat)
## List of 20
##  $ f                   :List of 3
##   ..$ model   : chr "cgeneric"
##   ..$ n       : int 41796
##   ..$ cgeneric:List of 5
##   .. ..$ model: chr "inla_cgeneric_rspde_stat_general_model"
##   .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. ..$ n    : int 41796
##   .. ..$ debug: logi FALSE
##   .. ..$ data :List of 5
##   .. .. ..$ ints      :List of 5
##   .. .. .. ..$ n          : int 41796
##   .. .. .. ..$ debug      : int 0
##   .. .. .. ..$ graph_opt_i: int [1:186659] 0 0 0 0 0 0 0 0 0 1 ...
##   .. .. .. ..$ graph_opt_j: int [1:186659] 0 1 805 5399 5681 8781 11429 11463 13882 1 ...
##   .. .. .. ..$ rspde.order: int 2
##   .. .. ..$ doubles   :List of 11
##   .. .. .. ..$ d                   : num 1
##   .. .. .. ..$ nu.upper.bound      : num 1.5
##   .. .. .. ..$ matrices_less       : num [1:143229] 0.0534 0 0 0 0 ...
##   .. .. .. ..$ matrices_full       : num [1:277832] 0.0534 0 0 0 0 ...
##   .. .. .. ..$ start.theta         : num [1:2] 0 1.35
##   .. .. .. ..$ theta.prior.mean    : num [1:2] 0 1.35
##   .. .. .. ..$ prior.nu.loglocation: num -0.288
##   .. .. .. ..$ prior.nu.mean       : num 0.75
##   .. .. .. ..$ prior.nu.prec       : num 3
##   .. .. .. ..$ prior.nu.logscale   : num 1
##   .. .. .. ..$ start.nu            : num 0.75
##   .. .. ..$ characters:List of 5
##   .. .. .. ..$ model            : chr "inla_cgeneric_rspde_stat_general_model"
##   .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. ..$ prior.nu.dist    : chr "lognormal"
##   .. .. .. ..$ parameterization : chr "matern"
##   .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. ..$ matrices  :List of 2
##   .. .. .. ..$ rational_table  : num [1:5996] 999 6 0.001 0.412 0.005 ...
##   .. .. .. ..$ theta.prior.prec: num [1:6] 2 2 0.1 0 0 0.1
##   .. .. ..$ smatrices : list()
##   .. ..- attr(*, "class")= chr "inla.cgeneric"
##  $ cgeneric_type       : chr "general"
##  $ theta.prior.mean    : num [1:2] 0 1.35
##  $ prior.nu            :List of 4
##   ..$ loglocation: num -0.288
##   ..$ mean       : num 0.75
##   ..$ prec       : num 3
##   ..$ logscale   : num 1
##  $ theta.prior.prec    : num [1:2, 1:2] 0.1 0 0 0.1
##  $ start.nu            : num 0.75
##  $ integer.nu          : logi FALSE
##  $ start.theta         : num [1:2] 0 1.35
##  $ stationary          : logi TRUE
##  $ rspde.order         : num 2
##  $ dim                 : num 1
##  $ est_nu              : logi TRUE
##  $ nu.upper.bound      : num 1.5
##  $ prior.nu.dist       : chr "lognormal"
##  $ debug               : logi FALSE
##  $ type.rational.approx: chr "chebfun"
##  $ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##  $ fem_mesh            :List of 5
##   ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. ..@ factors : list()
##   ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. ..@ factors : list()
##   ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. ..@ factors : list()
##   ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. ..@ factors : list()
##   ..$ g4:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:175232] 0 1 804 805 4450 5399 5681 8781 11429 11463 ...
##   .. .. ..@ p       : int [1:13933] 0 11 23 32 41 58 76 89 98 116 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:175232] 2.12e+14 1.39e+12 8.54e+11 -8.78e+12 1.53e+10 ...
##   .. .. ..@ factors : list()
##  $ parameterization    : chr "matern"
##  $ n.spde              : int 13932
##  - attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
data_rspde_bru_stat <- graph_data_rspde(rspde_model_stat,
                                        repl = ".all",
                                        loc_name = "loc")
str(data_rspde_bru_stat)
## List of 4
##  $ data :List of 8
##   ..$ speed            : num [1:25842] 99.8 91.7 99.8 14.5 16.1 ...
##   ..$ SpeedLimit       : num [1:25842] 4.09 4.09 4.09 -1.04 -1.04 ...
##   ..$ .coord_x         : num [1:25842] -122 -122 -122 -122 -122 ...
##   ..$ .coord_y         : num [1:25842] 37.7 37.7 37.7 37.8 37.8 ...
##   ..$ .edge_number     : num [1:25842] 2 2 2 3 3 3 5 6 6 6 ...
##   ..$ .distance_on_edge: num [1:25842] 0.195 0.227 0.363 0.309 0.583 ...
##   ..$ .group           : chr [1:25842] "1" "1" "1" "1" ...
##   ..$ loc              : num [1:25842, 1:2] 2 2 2 3 3 3 5 6 6 6 ...
##   ..- attr(*, "class")= chr [1:2] "metric_graph_data" "list"
##  $ index:List of 3
##   ..$ field      : int [1:55728] 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ field.group: int [1:55728] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ field.repl : int [1:55728] 1 1 1 1 1 1 1 1 1 1 ...
##   ..- attr(*, "class")= chr [1:2] "inla_rspde_index" "list"
##   ..- attr(*, "rspde.order")= num 0
##   ..- attr(*, "integer_nu")= logi TRUE
##   ..- attr(*, "n.mesh")= int 13932
##   ..- attr(*, "name")= chr "field"
##   ..- attr(*, "n.group")= int 1
##   ..- attr(*, "n.repl")= int 4
##  $ repl : chr [1:25842] "1" "1" "1" "1" ...
##  $ basis:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. ..@ i       : int [1:155052] 0 1 3 8 9 10 11 12 13 14 ...
##   .. ..@ p       : int [1:167185] 0 0 0 2 2 10 16 16 16 21 ...
##   .. ..@ Dim     : int [1:2] 25842 167184
##   .. ..@ Dimnames:List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : NULL
##   .. ..@ x       : num [1:155052] 0.416 0.319 0.382 0.224 0.509 ...
##   .. ..@ factors : list()
cmp_stat = speed ~ -1 +
  Intercept(1) +
  SpeedLimit +
  field(loc, model = rspde_model_stat,
        replicate = data_rspde_bru_stat[["repl"]])

rspde_fit_stat <-
  bru(cmp_stat,
      data = data_rspde_bru_stat[["data"]],
      family = "gaussian",
      options = list(verbose = FALSE)
  )
str(rspde_fit_stat)
## List of 56
##  $ names.fixed                : chr [1:2] "Intercept" "SpeedLimit"
##  $ summary.fixed              :'data.frame': 2 obs. of  7 variables:
##   ..$ mean      : num [1:2] 29.73 6.55
##   ..$ sd        : num [1:2] 0.305 0.209
##   ..$ 0.025quant: num [1:2] 29.14 6.13
##   ..$ 0.5quant  : num [1:2] 29.73 6.55
##   ..$ 0.975quant: num [1:2] 30.34 6.95
##   ..$ mode      : num [1:2] 29.73 6.55
##   ..$ kld       : num [1:2] 1.20e-08 5.52e-08
##  $ marginals.fixed            :List of 2
##   ..$ Intercept : num [1:43, 1:2] 28.5 28.6 28.8 29 29.1 ...
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ SpeedLimit: num [1:43, 1:2] 5.68 5.78 5.91 6.06 6.13 ...
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##  $ summary.lincomb            :'data.frame': 0 obs. of  0 variables
##  $ marginals.lincomb          : NULL
##  $ size.lincomb               : NULL
##  $ summary.lincomb.derived    :'data.frame': 0 obs. of  0 variables
##  $ marginals.lincomb.derived  : NULL
##  $ size.lincomb.derived       : NULL
##  $ mlik                       : num [1:2, 1] -104367 -104366
##   ..- attr(*, "dimnames")=List of 2
##   .. ..$ : chr [1:2] "log marginal-likelihood (integration)" "log marginal-likelihood (Gaussian)"
##   .. ..$ : NULL
##  $ cpo                        :List of 3
##   ..$ cpo    : logi(0) 
##   ..$ pit    : logi(0) 
##   ..$ failure: logi(0) 
##  $ gcpo                       :List of 5
##   ..$ gcpo  : NULL
##   ..$ kld   : NULL
##   ..$ mean  : NULL
##   ..$ sd    : NULL
##   ..$ groups: NULL
##  $ po                         :List of 1
##   ..$ po: num [1:25842] 0.0277 0.033 0.0291 0.0339 0.0319 ...
##  $ waic                       :List of 4
##   ..$ waic       : num 202721
##   ..$ p.eff      : num 5865
##   ..$ local.waic : num [1:25842] 7.51 6.91 7.42 6.82 7.04 ...
##   ..$ local.p.eff: num [1:25842] 0.172 0.0435 0.1725 0.025 0.0723 ...
##  $ residuals                  :List of 1
##   ..$ deviance.residuals: num [1:25842] 0.855 -0.535 0.793 -0.473 -0.62 ...
##  $ model.random               : chr "CGeneric"
##  $ summary.random             :List of 1
##   ..$ field:'data.frame':    167184 obs. of  8 variables:
##   .. ..$ ID        : num [1:167184] 1 2 3 4 5 6 7 8 9 10 ...
##   .. ..$ mean      : num [1:167184] -1.209 -0.441 12.536 8.111 -7.43 ...
##   .. ..$ sd        : num [1:167184] 9.05 9.06 10.68 12.36 7.96 ...
##   .. ..$ 0.025quant: num [1:167184] -18.97 -18.22 -8.39 -16.1 -23.03 ...
##   .. ..$ 0.5quant  : num [1:167184] -1.206 -0.439 12.532 8.1 -7.429 ...
##   .. ..$ 0.975quant: num [1:167184] 16.54 17.33 33.49 32.39 8.17 ...
##   .. ..$ mode      : num [1:167184] -1.206 -0.439 12.532 8.1 -7.429 ...
##   .. ..$ kld       : num [1:167184] 3.57e-11 1.51e-11 6.16e-11 1.94e-10 2.48e-11 ...
##  $ marginals.random           :List of 1
##   ..$ field:List of 167184
##   .. ..$ index.1     : num [1:43, 1:2] -40 -35 -29.3 -22.3 -19 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.2     : num [1:43, 1:2] -39.2 -34.3 -28.5 -21.6 -18.2 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.3     : num [1:43, 1:2] -32.95 -27.17 -20.46 -12.3 -8.39 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.4     : num [1:43, 1:2] -44.5 -37.8 -30.1 -20.6 -16.1 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.5     : num [1:43, 1:2] -41.4 -37.1 -32 -26 -23 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.6     : num [1:43, 1:2] -25.02 -21.31 -17.01 -11.79 -9.28 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.7     : num [1:43, 1:2] -50.9 -44.6 -37.3 -28.5 -24.2 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.8     : num [1:43, 1:2] -54.3 -47.5 -39.6 -30 -25.4 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.9     : num [1:43, 1:2] -32.3 -28.6 -24.3 -19.1 -16.6 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.10    : num [1:43, 1:2] -46 -41.3 -35.9 -29.4 -26.2 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.11    : num [1:43, 1:2] -47.5 -42.2 -36.2 -28.8 -25.2 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.12    : num [1:43, 1:2] -30.9 -26.9 -22.2 -16.6 -13.8 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.13    : num [1:43, 1:2] -30.8 -26.3 -21.1 -14.8 -11.7 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.14    : num [1:43, 1:2] -37.4 -32.8 -27.5 -21.1 -18.1 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.15    : num [1:43, 1:2] -41.9 -37.7 -32.8 -26.9 -24.1 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.16    : num [1:43, 1:2] -33.6 -30.1 -26 -21.1 -18.7 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.17    : num [1:43, 1:2] -53.6 -47.7 -41 -32.7 -28.8 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.18    : num [1:43, 1:2] -57.9 -51.1 -43.2 -33.7 -29.1 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.19    : num [1:43, 1:2] -53 -47.3 -40.6 -32.6 -28.8 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.20    : num [1:43, 1:2] -49.9 -44.1 -37.5 -29.4 -25.5 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.21    : num [1:43, 1:2] -30.2 -27.1 -23.5 -19.2 -17.2 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
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##   .. ..$ index.98    : num [1:43, 1:2] -47.3 -42 -35.8 -28.4 -24.8 ...
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##   .. .. .. ..$ : NULL
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##   .. ..$ index.99    : num [1:43, 1:2] -30.6 -26.9 -22.5 -17.2 -14.7 ...
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##   .. .. .. ..$ : NULL
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##   .. .. [list output truncated]
##  $ size.random                :List of 1
##   ..$ :List of 5
##   .. ..$ n     : num 41796
##   .. ..$ N     : num 41796
##   .. ..$ Ntotal: num 167184
##   .. ..$ ngroup: num 1
##   .. ..$ nrep  : num 4
##  $ summary.linear.predictor   :'data.frame': 193028 obs. of  7 variables:
##   ..$ mean      : num [1:193028] 92.6 93.2 94.4 14.6 18.7 ...
##   ..$ sd        : num [1:193028] 5.7 5.6 6.6 5.03 6.07 ...
##   ..$ 0.025quant: num [1:193028] 81.44 82.18 81.47 4.71 6.79 ...
##   ..$ 0.5quant  : num [1:193028] 92.6 93.2 94.4 14.6 18.7 ...
##   ..$ 0.975quant: num [1:193028] 103.8 104.1 107.4 24.4 30.6 ...
##   ..$ mode      : num [1:193028] 92.6 93.2 94.4 14.6 18.7 ...
##   ..$ kld       : num [1:193028] 4.97e-11 4.90e-11 4.92e-11 4.33e-11 3.58e-11 ...
##  $ marginals.linear.predictor : NULL
##  $ summary.fitted.values      :'data.frame': 193028 obs. of  6 variables:
##   ..$ mean      : num [1:193028] 92.6 93.2 94.4 14.6 18.7 ...
##   ..$ sd        : num [1:193028] 5.7 5.6 6.6 5.03 6.07 ...
##   ..$ 0.025quant: num [1:193028] 81.44 82.18 81.47 4.71 6.79 ...
##   ..$ 0.5quant  : num [1:193028] 92.6 93.2 94.4 14.6 18.7 ...
##   ..$ 0.975quant: num [1:193028] 103.8 104.1 107.4 24.4 30.6 ...
##   ..$ mode      : num [1:193028] 92.6 93.2 94.4 14.6 18.7 ...
##  $ marginals.fitted.values    : NULL
##  $ size.linear.predictor      :List of 5
##   ..$ n     : num 167186
##   ..$ N     : num 167186
##   ..$ Ntotal: num 193028
##   ..$ ngroup: num 1
##   ..$ nrep  : num 2
##  $ summary.hyperpar           :'data.frame': 4 obs. of  6 variables:
##   ..$ mean      : num [1:4] 0.00885 3.43276 -1.56956 -3.09066
##   ..$ sd        : num [1:4] 0.000111 0.073815 0.084884 0.187466
##   ..$ 0.025quant: num [1:4] 0.00864 3.3068 -1.7453 -3.50245
##   ..$ 0.5quant  : num [1:4] 0.00885 3.42734 -1.56672 -3.07596
##   ..$ 0.975quant: num [1:4] 0.00907 3.59405 -1.41146 -2.77418
##   ..$ mode      : num [1:4] 0.00885 3.4004 -1.55348 -3.00305
##  $ marginals.hyperpar         :List of 4
##   ..$ Precision for the Gaussian observations: num [1:43, 1:2] 0.00839 0.00845 0.00852 0.0086 0.00864 ...
##   .. ..- attr(*, "hyperid")= chr "65001|INLA.Data1"
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta1 for field                       : num [1:43, 1:2] 3.19 3.21 3.25 3.29 3.31 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta2 for field                       : num [1:43, 1:2] -1.96 -1.91 -1.85 -1.78 -1.75 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta3 for field                       : num [1:43, 1:2] -4.05 -3.92 -3.77 -3.59 -3.5 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##  $ internal.summary.hyperpar  :'data.frame': 4 obs. of  6 variables:
##   ..$ mean      : num [1:4] -4.73 3.43 -1.57 -3.09
##   ..$ sd        : num [1:4] 0.0125 0.0737 0.0849 0.1872
##   ..$ 0.025quant: num [1:4] -4.75 3.31 -1.75 -3.5
##   ..$ 0.5quant  : num [1:4] -4.73 3.43 -1.57 -3.08
##   ..$ 0.975quant: num [1:4] -4.7 3.59 -1.41 -2.77
##   ..$ mode      : num [1:4] -4.73 3.4 -1.55 -3.01
##  $ internal.marginals.hyperpar:List of 4
##   ..$ Log precision for the Gaussian observations: num [1:43, 1:2] -4.78 -4.77 -4.77 -4.76 -4.75 ...
##   .. ..- attr(*, "hyperid")= chr "65001|INLA.Data1"
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta1 for field                           : num [1:43, 1:2] 3.19 3.21 3.25 3.29 3.31 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta2 for field                           : num [1:43, 1:2] -1.96 -1.91 -1.85 -1.78 -1.75 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta3 for field                           : num [1:43, 1:2] -4.05 -3.92 -3.77 -3.59 -3.5 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##  $ offset.linear.predictor    : num [1:193028] 0 0 0 0 0 0 0 0 0 0 ...
##  $ model.spde2.blc            : NULL
##  $ summary.spde2.blc          : list()
##  $ marginals.spde2.blc        : NULL
##  $ size.spde2.blc             : NULL
##  $ model.spde3.blc            : NULL
##  $ summary.spde3.blc          : list()
##  $ marginals.spde3.blc        : NULL
##  $ size.spde3.blc             : NULL
##  $ logfile                    : chr [1:721] "[PANUA] PARDISO License is expired." "[PANUA] Please obtain a new PARDISO license at https://www.panua.ch/products/pardiso" "        Read ntt 24 1 with max.threads 24" "        Found num.threads = 24:1 max_threads = 24" ...
##  $ misc                       :List of 22
##   ..$ cov.intern                        : num [1:4, 1:4] 1.56e-04 -4.73e-05 -2.02e-04 1.68e-04 -4.73e-05 ...
##   ..$ cor.intern                        : num [1:4, 1:4] 1 -0.0545 -0.1874 0.0773 -0.0545 ...
##   ..$ cov.intern.eigenvalues            : num [1:4] 8.16e-05 1.82e-04 4.94e-03 3.73e-02
##   ..$ cov.intern.eigenvectors           : num [1:4, 1:4] 0.617 -0.708 0.13 -0.317 -0.785 ...
##   ..$ reordering                        : int [1:167186] 99558 99570 109579 109559 100407 100293 100371 100327 104554 93199 ...
##   ..$ theta.tags                        : chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   ..$ log.posterior.mode                : num -104356
##   ..$ stdev.corr.negative               : num [1:4] 1.02 1.03 1.01 1.41
##   ..$ stdev.corr.positive               : num [1:4] 0.984 0.975 0.987 0.712
##   ..$ to.theta                          :List of 4
##   .. ..$ Log precision for the Gaussian observations:function (x)  
##   .. ..$ Theta1 for field                           :function (x)  
##   .. ..$ Theta2 for field                           :function (x)  
##   .. ..$ Theta3 for field                           :function (x)  
##   ..$ from.theta                        :List of 4
##   .. ..$ Log precision for the Gaussian observations:function (x)  
##   .. ..$ Theta1 for field                           :function (x)  
##   .. ..$ Theta2 for field                           :function (x)  
##   .. ..$ Theta3 for field                           :function (x)  
##   ..$ mode.status                       : num 0
##   ..$ lincomb.derived.correlation.matrix: NULL
##   ..$ lincomb.derived.covariance.matrix : NULL
##   ..$ opt.directions                    : num [1:4, 1:4] -0.3701 -0.3857 -0.0251 0.8448 0.8131 ...
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : chr [1:4] "theta:1" "theta:2" "theta:3" "theta:4"
##   .. .. ..$ : chr [1:4] "dir:1" "dir:2" "dir:3" "dir:4"
##   ..$ configs                           :List of 17
##   .. ..$ .preopt          : logi TRUE
##   .. ..$ lite             : logi FALSE
##   .. ..$ mpred            : int 25842
##   .. ..$ npred            : int 167186
##   .. ..$ mnpred           : int 193028
##   .. ..$ Npred            : int 25842
##   .. ..$ n                : int 167186
##   .. ..$ nz               : int 994610
##   .. ..$ prior_nz         : int 746638
##   .. ..$ ntheta           : int 4
##   .. ..$ nconfig          : int 25
##   .. ..$ offsets          : num [1:193028] 0 0 0 0 0 0 0 0 0 0 ...
##   .. ..$ contents         :List of 3
##   .. .. ..$ tag   : chr [1:5] "APredictor" "Predictor" "field" "Intercept" ...
##   .. .. ..$ start : int [1:5] 1 25843 193029 360213 360214
##   .. .. ..$ length: int [1:5] 25842 167186 167184 1 1
##   .. ..$ A                :Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. ..@ i       : int [1:167186] 2 3 4 5 6 7 8 9 10 11 ...
##   .. .. .. ..@ j       : int [1:167186] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. ..$ : NULL
##   .. .. .. .. ..$ : NULL
##   .. .. .. ..@ x       : num [1:167186] 1 1 1 1 1 1 1 1 1 1 ...
##   .. .. .. ..@ factors : list()
##   .. ..$ pA               :Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. ..@ i       : int [1:206658] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. ..@ j       : int [1:206658] 0 0 0 0 0 0 0 0 0 0 ...
##   .. .. .. ..@ Dim     : int [1:2] 25842 167186
##   .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. ..$ : NULL
##   .. .. .. .. ..$ : NULL
##   .. .. .. ..@ x       : num [1:206658] 1 1 1 1 1 1 1 1 1 1 ...
##   .. .. .. ..@ factors : list()
##   .. ..$ config           :List of 25
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.73 3.4 -1.55 -3
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -4
##   .. .. .. ..$ log.posterior.orig: num 0
##   .. .. .. ..$ mean              : num [1:167186] -1.185 -0.426 12.484 8.046 -7.431 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.185 -0.426 12.484 8.046 -7.431 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0516 0 0.0273 0.0156 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 81.8 29.6 82 113.8 15.9 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0516 0 0.0273 0.0132 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.063318 -0.012689 0.04742 -0.000757 -0.022897 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.6 93.2 94.4 14.6 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.732 6.55 -1.185 -0.426 12.484 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.72 3.38 -1.55 -3
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -5.63
##   .. .. .. ..$ log.posterior.orig: num -2.43
##   .. .. .. ..$ mean              : num [1:167186] -1.196 -0.432 12.465 8.064 -7.362 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.196 -0.432 12.465 8.064 -7.362 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0536 0 0.0283 0.0162 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 79.2 28.8 79.4 110.2 15.6 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0536 0 0.0283 0.0137 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06462 -0.01229 0.0486 -0.00115 -0.02325 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.6 93.1 94.4 14.6 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.716 6.57 -1.196 -0.432 12.465 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.74 3.41 -1.55 -2.99
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -5.63
##   .. .. .. ..$ log.posterior.orig: num -2.44
##   .. .. .. ..$ mean              : num [1:167186] -1.17 -0.42 12.48 8.02 -7.49 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.17 -0.42 12.48 8.02 -7.49 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0499 0 0.0264 0.0152 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 84.4 30.4 84.6 117.4 16.4 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0499 0 0.0264 0.0128 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.062038 -0.013052 0.046269 -0.000411 -0.02255 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.7 93.2 94.5 14.5 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.75 6.53 -1.17 -0.42 12.48 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.75 3.38 -1.55 -3
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -5.6
##   .. .. .. ..$ log.posterior.orig: num -2.41
##   .. .. .. ..$ mean              : num [1:167186] -1.183 -0.427 12.371 7.981 -7.242 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.183 -0.427 12.371 7.981 -7.242 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0539 0 0.0285 0.0162 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 78.7 28.6 78.9 110 15.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0539 0 0.0285 0.0138 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06346 -0.01077 0.04813 -0.00167 -0.02256 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.4 93 94.2 14.7 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.677 6.626 -1.183 -0.427 12.371 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.7 3.41 -1.55 -2.99
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -5.68
##   .. .. .. ..$ log.posterior.orig: num -2.48
##   .. .. .. ..$ mean              : num [1:167186] -1.188 -0.425 12.574 8.103 -7.616 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.188 -0.425 12.574 8.103 -7.616 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0496 0 0.0262 0.0152 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 85 30.6 85.2 117.7 16.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0496 0 0.0262 0.0127 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.063229 -0.014682 0.046731 0.000217 -0.023263 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.8 93.4 94.6 14.5 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.789 6.467 -1.188 -0.425 12.574 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.72 3.36 -1.7 -2.96
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -5.39
##   .. .. .. ..$ log.posterior.orig: num -2.19
##   .. .. .. ..$ mean              : num [1:167186] -0.772 -0.235 11.619 6.415 -7.42 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.772 -0.235 11.619 6.415 -7.42 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0471 0 0.0255 0.0148 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 77.4 23.7 77.2 111.4 11.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0471 0 0.0255 0.0124 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06559 -0.011191 0.049662 0.000517 -0.022811 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.4 93 94.2 14.4 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.598 6.822 -0.772 -0.235 11.619 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.74 3.43 -1.4 -3.03
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -5.35
##   .. .. .. ..$ log.posterior.orig: num -2.16
##   .. .. .. ..$ mean              : num [1:167186] -1.74 -0.72 13.45 9.87 -7.37 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.74 -0.72 13.45 9.87 -7.37 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0572 0 0.0297 0.0167 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 85.9 36.1 86.6 115.3 21.2 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0572 0 0.0297 0.0143 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06138 -0.01386 0.04547 -0.00216 -0.02301 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.8 93.3 94.6 14.7 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.86 6.28 -1.74 -0.72 13.45 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.73 3.29 -1.47 -2.72
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -3.83
##   .. .. .. ..$ log.posterior.orig: num -0.636
##   .. .. .. ..$ mean              : num [1:167186] -1.087 -0.383 11.791 7.48 -7.178 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.087 -0.383 11.791 7.48 -7.178 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0534 0 0.0283 0.0161 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 77.8 27.6 77.9 110.6 15.3 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0534 0 0.0283 0.0137 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.063546 -0.01252 0.047653 -0.000899 -0.022965 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.6 93.1 94.4 14.6 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.723 6.563 -1.087 -0.383 11.791 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.73 3.6 -1.72 -3.53
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -4.78
##   .. .. .. ..$ log.posterior.orig: num -1.59
##   .. .. .. ..$ mean              : num [1:167186] -1.412 -0.534 13.5 9.098 -7.603 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.412 -0.534 13.5 9.098 -7.603 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0529 0 0.0277 0.0158 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 84.2 32.1 84.6 113.2 17 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0529 0 0.0277 0.0134 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06381 -0.01201 0.04804 -0.00147 -0.02297 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.6 93.1 94.3 14.7 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.729 6.538 -1.412 -0.534 13.5 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.73 3.53 -1.56 -3.27
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -4.57
##   .. .. .. ..$ log.posterior.orig: num -1.38
##   .. .. .. ..$ mean              : num [1:167186] -1.566 -0.617 13.583 9.538 -7.657 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.566 -0.617 13.583 9.538 -7.657 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0523 0 0.0273 0.0156 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 88.9 35.4 89.5 118.9 19.6 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0523 0 0.0273 0.0132 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06176 -0.01426 0.04566 -0.00104 -0.02297 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.8 93.3 94.6 14.6 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.837 6.352 -1.566 -0.617 13.583 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.73 3.38 -1.44 -2.87
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -4.82
##   .. .. .. ..$ log.posterior.orig: num -1.63
##   .. .. .. ..$ mean              : num [1:167186] -1.383 -0.528 12.672 8.662 -7.432 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.383 -0.528 12.672 8.662 -7.432 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0527 0 0.0276 0.0158 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 85.2 32.8 85.6 117.5 18.7 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0527 0 0.0276 0.0134 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06167 -0.014467 0.045526 -0.000793 -0.022974 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.8 93.4 94.6 14.6 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.833 6.365 -1.383 -0.528 12.672 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.72 3.5 -1.71 -3.24
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -4.28
##   .. .. .. ..$ log.posterior.orig: num -1.08
##   .. .. .. ..$ mean              : num [1:167186] -1.052 -0.357 12.637 7.722 -7.705 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.052 -0.357 12.637 7.722 -7.705 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0472 0 0.0252 0.0147 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 84.7 28.9 84.7 117.4 14.6 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0472 0 0.0252 0.0122 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.063751 -0.013036 0.047658 0.000371 -0.022859 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.6 93.2 94.4 14.4 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.704 6.625 -1.052 -0.357 12.637 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.72 3.34 -1.58 -2.84
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -5.07
##   .. .. .. ..$ log.posterior.orig: num -1.87
##   .. .. .. ..$ mean              : num [1:167186] -0.916 -0.299 11.774 6.966 -7.44 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.916 -0.299 11.774 6.966 -7.44 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.048 0 0.0257 0.0149 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 80.7 26.5 80.6 115.1 13.7 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.048 0 0.0257 0.0125 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.063772 -0.013135 0.047634 0.000539 -0.022883 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.6 93.2 94.4 14.4 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.698 6.641 -0.916 -0.299 11.774 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.75 3.52 -1.56 -3.28
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -5.21
##   .. .. .. ..$ log.posterior.orig: num -2.02
##   .. .. .. ..$ mean              : num [1:167186] -1.56 -0.617 13.489 9.471 -7.475 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.56 -0.617 13.489 9.471 -7.475 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0544 0 0.0284 0.0161 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 85.7 34.3 86.3 115.1 19 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0544 0 0.0284 0.0137 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06185 -0.01236 0.04633 -0.00192 -0.02262 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.6 93.2 94.4 14.7 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.78 6.433 -1.56 -0.617 13.489 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.75 3.36 -1.44 -2.88
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -4.98
##   .. .. .. ..$ log.posterior.orig: num -1.78
##   .. .. .. ..$ mean              : num [1:167186] -1.38 -0.529 12.561 8.592 -7.239 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.38 -0.529 12.561 8.592 -7.239 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0551 0 0.0289 0.0163 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 81.9 31.7 82.3 113.4 18.1 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0551 0 0.0289 0.014 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06178 -0.01254 0.04622 -0.00173 -0.02263 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.6 93.2 94.4 14.7 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.776 6.445 -1.38 -0.529 12.561 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.74 3.48 -1.71 -3.25
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -4.71
##   .. .. .. ..$ log.posterior.orig: num -1.51
##   .. .. .. ..$ mean              : num [1:167186] -1.05 -0.357 12.543 7.667 -7.522 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.05 -0.357 12.543 7.667 -7.522 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0492 0 0.0262 0.0151 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 81.7 27.9 81.7 113.7 14.1 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0492 0 0.0262 0.0127 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06387 -0.01108 0.04835 -0.00057 -0.0225 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.5 93 94.2 14.5 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.649 6.704 -1.05 -0.357 12.543 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.74 3.33 -1.58 -2.84
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -5.12
##   .. .. .. ..$ log.posterior.orig: num -1.92
##   .. .. .. ..$ mean              : num [1:167186] -0.915 -0.3 11.688 6.918 -7.264 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.915 -0.3 11.688 6.918 -7.264 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0499 0 0.0267 0.0154 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 77.8 25.6 77.7 111.4 13.3 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0499 0 0.0267 0.013 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.063884 -0.011189 0.048316 -0.000405 -0.022526 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.5 93 94.2 14.5 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.643 6.719 -0.915 -0.3 11.688 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.71 3.52 -1.56 -3.28
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -5.46
##   .. .. .. ..$ log.posterior.orig: num -2.27
##   .. .. .. ..$ mean              : num [1:167186] -1.578 -0.624 13.591 9.568 -7.601 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.578 -0.624 13.591 9.568 -7.601 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0541 0 0.0282 0.0161 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 86.2 34.5 86.8 115.3 19.1 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0541 0 0.0282 0.0136 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06301 -0.01392 0.04679 -0.00139 -0.02332 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.8 93.3 94.6 14.6 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.82 6.374 -1.578 -0.624 13.591 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.71 3.36 -1.43 -2.88
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -5.16
##   .. .. .. ..$ log.posterior.orig: num -1.96
##   .. .. .. ..$ mean              : num [1:167186] -1.395 -0.535 12.654 8.681 -7.362 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.395 -0.535 12.654 8.681 -7.362 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0548 0 0.0287 0.0163 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 82.4 31.9 82.8 113.7 18.2 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0548 0 0.0287 0.0139 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06294 -0.01411 0.04667 -0.00119 -0.02333 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.8 93.3 94.6 14.6 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.816 6.386 -1.395 -0.535 12.654 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.71 3.49 -1.71 -3.25
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -4.89
##   .. .. .. ..$ log.posterior.orig: num -1.69
##   .. .. .. ..$ mean              : num [1:167186] -1.062 -0.362 12.641 7.75 -7.65 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.062 -0.362 12.641 7.75 -7.65 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0489 0 0.026 0.0151 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 82.2 28.1 82.2 113.9 14.2 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0489 0 0.026 0.0126 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 6.51e-02 -1.27e-02 4.88e-02 2.93e-05 -2.32e-02 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.6 93.1 94.4 14.5 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.689 6.647 -1.062 -0.362 12.641 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.71 3.33 -1.58 -2.84
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -5.44
##   .. .. .. ..$ log.posterior.orig: num -2.25
##   .. .. .. ..$ mean              : num [1:167186] -0.926 -0.304 11.754 6.985 -7.371 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.926 -0.304 11.754 6.985 -7.371 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0499 0 0.0267 0.0154 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 78 25.8 78 111.4 13.4 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0499 0 0.0267 0.0129 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.065091 -0.012737 0.048825 0.000154 -0.023238 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.6 93.1 94.4 14.5 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.682 6.662 -0.926 -0.304 11.754 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.74 3.5 -1.56 -3.29
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -6.16
##   .. .. .. ..$ log.posterior.orig: num -2.97
##   .. .. .. ..$ mean              : num [1:167186] -1.572 -0.625 13.47 9.488 -7.402 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.572 -0.625 13.47 9.488 -7.402 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
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##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
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##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0566 0 0.0295 0.0167 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
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##   .. .. .. .. .. ..@ x       : num [1:994610] 82.8 33.3 83.4 111.3 18.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
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##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06314 -0.01195 0.04751 -0.00232 -0.02297 ...
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##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.6 93.1 94.4 14.7 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.763 6.455 -1.572 -0.625 13.47 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
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##   .. .. .. ..$ theta             : Named num [1:4] -4.74 3.35 -1.43 -2.88
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -5.14
##   .. .. .. ..$ log.posterior.orig: num -1.95
##   .. .. .. ..$ mean              : num [1:167186] -1.39 -0.535 12.569 8.62 -7.188 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.39 -0.535 12.569 8.62 -7.188 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
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##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
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##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.057 0 0.0298 0.0168 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
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##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 79.5 30.9 79.9 110 17.7 ...
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##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
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##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
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##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06303 -0.01218 0.04735 -0.00208 -0.02297 ...
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##   .. .. .. .. .. ..$ : NULL
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##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.6 93.1 94.4 14.7 18.7 ...
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##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.76 6.467 -1.39 -0.535 12.569 ...
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##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
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##   .. .. .. ..$ theta             : Named num [1:4] -4.73 3.47 -1.71 -3.25
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -5.43
##   .. .. .. ..$ log.posterior.orig: num -2.23
##   .. .. .. ..$ mean              : num [1:167186] -1.06 -0.363 12.521 7.686 -7.45 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.06 -0.363 12.521 7.686 -7.45 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
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##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
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##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0511 0 0.0272 0.0156 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
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##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 78.9 27.2 79 110 13.8 ...
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##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
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##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0511 0 0.0272 0.0132 0 ...
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##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.065216 -0.010637 0.049574 -0.000958 -0.022852 ...
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##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.4 92.9 94.2 14.6 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.633 6.724 -1.06 -0.363 12.521 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:4] -4.73 3.31 -1.58 -2.85
##   .. .. .. .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   .. .. .. ..$ log.posterior     : num -5.46
##   .. .. .. ..$ log.posterior.orig: num -2.26
##   .. .. .. ..$ mean              : num [1:167186] -0.925 -0.305 11.668 6.937 -7.197 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.925 -0.305 11.668 6.937 -7.197 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
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##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0519 0 0.0278 0.0159 0 ...
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##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
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##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 75.3 25 75.2 107.8 13 ...
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##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
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##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.4 92.9 94.2 14.6 18.7 ...
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##   .. .. .. .. .. ..$ : NULL
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##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.627 6.739 -0.925 -0.305 11.668 ...
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##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. ..$ max.log.posterior: num -104356
##   ..$ nfunc                             : num 417
##   ..$ warnings                          : chr(0) 
##   ..$ opt.trace                         :List of 3
##   .. ..$ f    : Named num [1:72] 84684947 84519264 31935983 31867513 105563 ...
##   .. .. ..- attr(*, "names")= chr [1:72] "iter1" "iter2" "iter3" "iter4" ...
##   .. ..$ nfunc: Named int [1:72] 2 2 6 8 12 14 18 22 24 28 ...
##   .. .. ..- attr(*, "names")= chr [1:72] "iter1" "iter2" "iter3" "iter4" ...
##   .. ..$ theta: num [1:72, 1:4] 4 4 3.18 3.18 -4.23 ...
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##   .. .. .. ..$ : chr [1:72] "iter1" "iter2" "iter3" "iter4" ...
##   .. .. .. ..$ : chr [1:4] "theta1" "theta2" "theta3" "theta4"
##   ..$ theta.mode                        : num [1:4] -4.73 3.4 -1.55 -3
##   ..$ linkfunctions                     :List of 2
##   .. ..$ names: chr "identity"
##   .. ..$ link : int [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ family                            : int [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
##  $ dic                        :List of 14
##   ..$ dic              : num 202373
##   ..$ p.eff            : num 6862
##   ..$ mean.deviance    : num 195511
##   ..$ deviance.mean    : num 188649
##   ..$ dic.sat          : num 32684
##   ..$ mean.deviance.sat: num 25822
##   ..$ deviance.mean.sat: num 18955
##   ..$ family.dic       : num 202373
##   ..$ family.dic.sat   : num 32689
##   ..$ family.p.eff     : num 6862
##   ..$ family           : num [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ local.dic        : num [1:25842] 7.59 7.14 7.59 7.01 7.28 ...
##   ..$ local.dic.sat    : num [1:25842] 1.019 0.563 1.015 0.447 0.71 ...
##   ..$ local.p.eff      : num [1:25842] 0.288 0.277 0.385 0.223 0.325 ...
##  $ mode                       :List of 5
##   ..$ theta             : Named num [1:4] -4.73 3.4 -1.55 -3
##   .. ..- attr(*, "names")= chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   ..$ x                 : num [1:360214] 92.6 93.2 94.4 14.6 18.7 ...
##   ..$ theta.tags        : chr [1:4] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field"
##   ..$ mode.status       : num 0
##   ..$ log.posterior.mode: num -104356
##  $ joint.hyper                :'data.frame': 25 obs. of  6 variables:
##   ..$ Log precision for the Gaussian observations : num [1:25] -4.73 -4.72 -4.74 -4.75 -4.7 ...
##   ..$ Theta1 for field                            : num [1:25] 3.4 3.38 3.41 3.38 3.41 ...
##   ..$ Theta2 for field                            : num [1:25] -1.55 -1.55 -1.55 -1.55 -1.55 ...
##   ..$ Theta3 for field                            : num [1:25] -3 -3 -2.99 -3 -2.99 ...
##   ..$ Log posterior density                       : num [1:25] -104369 -104372 -104372 -104372 -104372 ...
##   ..$ Total integration weight (log.dens included): num [1:25] 0.104 0.0204 0.0203 0.0209 0.0193 ...
##  $ nhyper                     : int 4
##  $ version                    :List of 2
##   ..$ inla.call: chr "GITCOMMIT [b51fb385728e90bce98ca92b1d8762a2d13f655c - Sat May 18 13:21:08 2024 +0300]"
##   ..$ R.INLA   : Named chr "24.05.18-2"
##   .. ..- attr(*, "names")= chr "version"
##  $ Q                          : NULL
##  $ graph                      : NULL
##  $ ok                         : logi TRUE
##  $ cpu.intern                 : chr [1:16] "Wall-clock time used on [/tmp/RtmpGfhmNi/file18d8c284dee3a/Model.ini]" "Preparations             :   0.371 seconds" "Approx inference (stage1):  58.102 seconds" "Approx inference (stage2):   0.002 seconds" ...
##  $ cpu.used                   : Named num [1:4] 0.432 60.677 9.819 70.929
##   ..- attr(*, "names")= chr [1:4] "Pre" "Running" "Post" "Total"
##  $ all.hyper                  :List of 4
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##   .. .. .. ..$ hyperid   : num 53001
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##   .. .. .. ..$ short.name: chr "prec"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
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##   .. .. .. ..$ fixed     : logi TRUE
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##   .. .. .. ..$ prior     : chr "loggamma"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param     : num [1:2] 1e+00 1e-05
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta  :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
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##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   ..$ family   :List of 1
##   .. ..$ :List of 4
##   .. .. ..$ hyperid: chr "INLA.Data1"
##   .. .. ..$ label  : chr "gaussian"
##   .. .. ..$ hyper  :List of 2
##   .. .. .. ..$ theta1:List of 11
##   .. .. .. .. ..$ hyperid           : num 65001
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##   .. .. .. .. ..$ short.name        : chr "prec"
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##   .. .. .. .. ..$ output.name       : chr "Precision for the Gaussian observations"
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##   .. .. .. .. ..$ output.name.intern: chr "Log precision for the Gaussian observations"
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##   .. .. .. .. ..$ initial           : num 4
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##   .. .. .. .. ..$ short.name        : chr "precoffset"
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##   .. .. .. .. ..$ initial           : num 72.1
##   .. .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. .. ..$ fixed             : logi TRUE
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##   .. .. .. .. ..$ prior             : chr "none"
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##   .. .. .. .. ..$ param             : num(0) 
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##   .. .. .. .. ..$ to.theta          :function (x)  
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##   .. .. ..$ link   :List of 1
##   .. .. .. ..$ hyper: list()
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##   .. .. ..$ label     : chr "Intercept"
##   .. .. ..$ prior.mean: num 0
##   .. .. ..$ prior.prec: num 0.001
##   .. ..$ :List of 3
##   .. .. ..$ label     : chr "SpeedLimit"
##   .. .. ..$ prior.mean: num 0
##   .. .. ..$ prior.prec: num 0.001
##   ..$ random   :List of 3
##   .. ..$ : NULL
##   .. ..$ : NULL
##   .. ..$ :List of 3
##   .. .. ..$ hyperid    : chr "field"
##   .. .. ..$ hyper      : NULL
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##   .. .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. .. ..$ to.theta  :function (x, REPLACE.ME.ngroup)  
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##  $ .args                      :List of 30
##   ..$ formula          :Class 'formula'  language BRU.response ~ f(Intercept, model = BRU_Intercept_main_model, ngroup = 1,      nrep = 1, values = BRU_Intercept_v| __truncated__ ...
##   ..$ family           : chr "gaussian"
##   ..$ data             :List of 21
##   .. ..$ BRU.response             : num [1:25842] 99.8 91.7 99.8 14.5 16.1 ...
##   .. ..$ BRU.E                    : num [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU.Ntrials              : num [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU.weights              : num [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU.scale                : num [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU.offset               : num [1:25842] 0 0 0 0 0 0 0 0 0 0 ...
##   .. ..$ Intercept                : num [1:167186] 1 NA NA NA NA NA NA NA NA NA ...
##   .. ..$ Intercept.group          : int [1:167186] 1 NA NA NA NA NA NA NA NA NA ...
##   .. ..$ Intercept.repl           : int [1:167186] 1 NA NA NA NA NA NA NA NA NA ...
##   .. ..$ SpeedLimit               : num [1:167186] NA 1 NA NA NA NA NA NA NA NA ...
##   .. ..$ SpeedLimit.group         : int [1:167186] NA 1 NA NA NA NA NA NA NA NA ...
##   .. ..$ SpeedLimit.repl          : int [1:167186] NA 1 NA NA NA NA NA NA NA NA ...
##   .. ..$ field                    : int [1:167186] NA NA 1 2 3 4 5 6 7 8 ...
##   .. ..$ field.group              : int [1:167186] NA NA 1 1 1 1 1 1 1 1 ...
##   .. ..$ field.repl               : int [1:167186] NA NA 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU_Intercept_main_model : chr "linear"
##   .. ..$ BRU_Intercept_values     : num 1
##   .. ..$ BRU_SpeedLimit_main_model: chr "linear"
##   .. ..$ BRU_SpeedLimit_values    : num 1
##   .. ..$ BRU_field_main_model     :List of 20
##   .. .. ..$ f                   :List of 3
##   .. .. .. ..$ model   : chr "cgeneric"
##   .. .. .. ..$ n       : int 41796
##   .. .. .. ..$ cgeneric:List of 5
##   .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_stat_general_model"
##   .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. ..$ n    : int 41796
##   .. .. .. .. ..$ debug: logi FALSE
##   .. .. .. .. ..$ data :List of 5
##   .. .. .. .. .. ..$ ints      :List of 5
##   .. .. .. .. .. .. ..$ n          : int 41796
##   .. .. .. .. .. .. ..$ debug      : int 0
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##   .. .. .. .. .. .. ..$ graph_opt_j: int [1:186659] 0 1 805 5399 5681 8781 11429 11463 13882 1 ...
##   .. .. .. .. .. .. ..$ rspde.order: int 2
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##   .. .. .. .. .. .. ..$ d                   : num 1
##   .. .. .. .. .. .. ..$ nu.upper.bound      : num 1.5
##   .. .. .. .. .. .. ..$ matrices_less       : num [1:143229] 0.0534 0 0 0 0 ...
##   .. .. .. .. .. .. ..$ matrices_full       : num [1:277832] 0.0534 0 0 0 0 ...
##   .. .. .. .. .. .. ..$ start.theta         : num [1:2] 0 1.35
##   .. .. .. .. .. .. ..$ theta.prior.mean    : num [1:2] 0 1.35
##   .. .. .. .. .. .. ..$ prior.nu.loglocation: num -0.288
##   .. .. .. .. .. .. ..$ prior.nu.mean       : num 0.75
##   .. .. .. .. .. .. ..$ prior.nu.prec       : num 3
##   .. .. .. .. .. .. ..$ prior.nu.logscale   : num 1
##   .. .. .. .. .. .. ..$ start.nu            : num 0.75
##   .. .. .. .. .. ..$ characters:List of 5
##   .. .. .. .. .. .. ..$ model            : chr "inla_cgeneric_rspde_stat_general_model"
##   .. .. .. .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. ..$ prior.nu.dist    : chr "lognormal"
##   .. .. .. .. .. .. ..$ parameterization : chr "matern"
##   .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. ..$ matrices  :List of 2
##   .. .. .. .. .. .. ..$ rational_table  : num [1:5996] 999 6 0.001 0.412 0.005 ...
##   .. .. .. .. .. .. ..$ theta.prior.prec: num [1:6] 2 2 0.1 0 0 0.1
##   .. .. .. .. .. ..$ smatrices : list()
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##   .. .. ..$ cgeneric_type       : chr "general"
##   .. .. ..$ theta.prior.mean    : num [1:2] 0 1.35
##   .. .. ..$ prior.nu            :List of 4
##   .. .. .. ..$ loglocation: num -0.288
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##   .. .. .. ..$ logscale   : num 1
##   .. .. ..$ theta.prior.prec    : num [1:2, 1:2] 0.1 0 0 0.1
##   .. .. ..$ start.nu            : num 0.75
##   .. .. ..$ integer.nu          : logi FALSE
##   .. .. ..$ start.theta         : num [1:2] 0 1.35
##   .. .. ..$ stationary          : logi TRUE
##   .. .. ..$ rspde.order         : num 2
##   .. .. ..$ dim                 : num 1
##   .. .. ..$ est_nu              : logi TRUE
##   .. .. ..$ nu.upper.bound      : num 1.5
##   .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. ..$ debug               : logi FALSE
##   .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
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##   .. .. .. .. .. ..@ factors : list()
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##   ..$ quantiles        : num [1:3] 0.025 0.5 0.975
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##   ..$ verbose          : logi FALSE
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##   .. .. .. ..$ param     : num [1:2] 1e+00 1e-05
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##   .. .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. .. ..$ prior             : chr "loggamma"
##   .. .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. .. ..$ param             : num [1:2] 1e+00 5e-05
##   .. .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. .. ..$ from.theta        :function (x)  
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##   .. .. .. ..$ theta2:List of 11
##   .. .. .. .. ..$ hyperid           : num 65002
##   .. .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. .. ..$ name              : chr "log precision offset"
##   .. .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
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##   .. .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. .. ..$ output.name       : chr "NOT IN USE"
##   .. .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. .. ..$ output.name.intern: chr "NOT IN USE"
##   .. .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. .. ..$ initial           : num 72.1
##   .. .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. .. ..$ fixed             : logi TRUE
##   .. .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. .. ..$ prior             : chr "none"
##   .. .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
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##   .. .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. .. ..$ from.theta        :function (x)  
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##   .. .. ..$ initial          : NULL
##   .. .. ..$ prior            : NULL
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##   .. .. ..$ fixed            : NULL
##   .. .. ..$ link             : chr "default"
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##   .. .. ..$ control.bgev     : NULL
##   .. .. ..$ cenpoisson.I     : int [1:2] -1 -1
##   .. .. ..$ beta.censor.value: num 0
##   .. .. ..$ variant          : int 0
##   .. .. ..$ control.mix      : NULL
##   .. .. ..$ control.pom      : NULL
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##   .. .. .. ..$ hyper   : list()
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##   .. .. ..- attr(*, "class")= chr [1:2] "ctrl_family" "inla_ctrl_object"
##   ..$ control.inla     :List of 56
##   .. ..$ strategy                          : chr "auto"
##   .. ..$ int.strategy                      : chr "auto"
##   .. ..$ int.design                        : NULL
##   .. ..$ interpolator                      : chr "auto"
##   .. ..$ fast                              : logi TRUE
##   .. ..$ linear.correction                 : NULL
##   .. ..$ h                                 : num 0.005
##   .. ..$ dz                                : num 0.75
##   .. ..$ diff.logdens                      : num 6
##   .. ..$ print.joint.hyper                 : logi TRUE
##   .. ..$ force.diagonal                    : logi FALSE
##   .. ..$ skip.configurations               : logi TRUE
##   .. ..$ mode.known                        : logi FALSE
##   .. ..$ adjust.weights                    : logi TRUE
##   .. ..$ tolerance                         : num 0.005
##   .. ..$ tolerance.f                       : NULL
##   .. ..$ tolerance.g                       : NULL
##   .. ..$ tolerance.x                       : NULL
##   .. ..$ tolerance.step                    : NULL
##   .. ..$ restart                           : int 0
##   .. ..$ optimiser                         : chr "default"
##   .. ..$ verbose                           : NULL
##   .. ..$ reordering                        : chr "auto"
##   .. ..$ cpo.diff                          : NULL
##   .. ..$ npoints                           : num 9
##   .. ..$ cutoff                            : num 1e-04
##   .. ..$ adapt.hessian.mode                : NULL
##   .. ..$ adapt.hessian.max.trials          : NULL
##   .. ..$ adapt.hessian.scale               : NULL
##   .. ..$ adaptive.max                      : int 25
##   .. ..$ huge                              : logi FALSE
##   .. ..$ step.len                          : num 0
##   .. ..$ stencil                           : int 5
##   .. ..$ lincomb.derived.correlation.matrix: logi FALSE
##   .. ..$ diagonal                          : num 0
##   .. ..$ numint.maxfeval                   : num 1e+05
##   .. ..$ numint.relerr                     : num 1e-05
##   .. ..$ numint.abserr                     : num 1e-06
##   .. ..$ cmin                              : num -Inf
##   .. ..$ b.strategy                        : chr "keep"
##   .. ..$ step.factor                       : num -0.1
##   .. ..$ global.node.factor                : num 2
##   .. ..$ global.node.degree                : int 2147483647
##   .. ..$ stupid.search                     : logi TRUE
##   .. ..$ stupid.search.max.iter            : int 1000
##   .. ..$ stupid.search.factor              : num 1.05
##   .. ..$ control.vb                        :List of 8
##   .. .. ..$ enable          : chr "auto"
##   .. .. ..$ strategy        : chr [1:2] "mean" "variance"
##   .. .. ..$ verbose         : logi TRUE
##   .. .. ..$ iter.max        : num 25
##   .. .. ..$ emergency       : num 25
##   .. .. ..$ f.enable.limit  : num [1:4] 30 25 1024 768
##   .. .. ..$ hessian.update  : num 2
##   .. .. ..$ hessian.strategy: chr [1:4] "default" "full" "partial" "diagonal"
##   .. .. ..- attr(*, "class")= chr [1:2] "ctrl_vb" "inla_ctrl_object"
##   .. ..$ num.gradient                      : chr "central"
##   .. ..$ num.hessian                       : chr "central"
##   .. ..$ optimise.strategy                 : chr "smart"
##   .. ..$ use.directions                    : logi TRUE
##   .. ..$ constr.marginal.diagonal          : num 1.49e-08
##   .. ..$ improved.simplified.laplace       : logi FALSE
##   .. ..$ parallel.linesearch               : logi FALSE
##   .. ..$ compute.initial.values            : logi TRUE
##   .. ..$ hessian.correct.skewness.only     : logi TRUE
##   .. ..- attr(*, "class")= chr [1:2] "ctrl_inla" "inla_ctrl_object"
##   ..$ control.fixed    :List of 10
##   .. ..$ cdf                   : NULL
##   .. ..$ quantiles             : NULL
##   .. ..$ expand.factor.strategy: chr "inla"
##   .. ..$ mean                  : num 0
##   .. ..$ mean.intercept        : num 0
##   .. ..$ prec                  : num 0.001
##   .. ..$ prec.intercept        : num 0
##   .. ..$ compute               : logi TRUE
##   .. ..$ correlation.matrix    : logi FALSE
##   .. ..$ remove.names          : NULL
##   .. ..- attr(*, "class")= chr [1:2] "ctrl_fixed" "inla_ctrl_object"
##   ..$ control.mode     :List of 5
##   .. ..$ result : NULL
##   .. ..$ theta  : NULL
##   .. ..$ x      : NULL
##   .. ..$ restart: logi FALSE
##   .. ..$ fixed  : logi FALSE
##   .. ..- attr(*, "class")= chr [1:2] "ctrl_mode" "inla_ctrl_object"
##   ..$ control.expert   :List of 6
##   .. ..$ cpo.manual            : logi FALSE
##   .. ..$ cpo.idx               : num -1
##   .. ..$ disable.gaussian.check: logi FALSE
##   .. ..$ jp                    : NULL
##   .. ..$ dot.product.gain      : logi FALSE
##   .. ..$ globalconstr          :List of 2
##   .. .. ..$ A: NULL
##   .. .. ..$ e: NULL
##   .. ..- attr(*, "class")= chr [1:2] "ctrl_expert" "inla_ctrl_object"
##   ..$ control.lincomb  :List of 1
##   .. ..$ verbose: logi FALSE
##   .. ..- attr(*, "class")= chr [1:2] "ctrl_lincomb" "inla_ctrl_object"
##   ..$ control.update   :List of 1
##   .. ..$ result: NULL
##   .. ..- attr(*, "class")= chr [1:2] "ctrl_update" "inla_ctrl_object"
##   ..$ control.lp.scale :List of 1
##   .. ..$ hyper:List of 100
##   .. .. ..$ theta1  :List of 11
##   .. .. .. ..$ hyperid           : num 103001
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta1"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b1"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[1] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[1] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta2  :List of 11
##   .. .. .. ..$ hyperid           : num 103002
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta2"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b2"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[2] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[2] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta3  :List of 11
##   .. .. .. ..$ hyperid           : num 103003
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta3"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b3"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[3] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[3] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta4  :List of 11
##   .. .. .. ..$ hyperid           : num 103004
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta4"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b4"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[4] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[4] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta5  :List of 11
##   .. .. .. ..$ hyperid           : num 103005
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta5"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b5"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[5] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[5] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta6  :List of 11
##   .. .. .. ..$ hyperid           : num 103006
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta6"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b6"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[6] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[6] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta7  :List of 11
##   .. .. .. ..$ hyperid           : num 103007
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta7"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b7"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[7] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[7] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta8  :List of 11
##   .. .. .. ..$ hyperid           : num 103008
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta8"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b8"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[8] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[8] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta9  :List of 11
##   .. .. .. ..$ hyperid           : num 103009
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta9"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b9"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[9] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[9] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta10 :List of 11
##   .. .. .. ..$ hyperid           : num 103010
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta10"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b10"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[10] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[10] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta11 :List of 11
##   .. .. .. ..$ hyperid           : num 103011
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta11"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b11"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[11] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[11] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta12 :List of 11
##   .. .. .. ..$ hyperid           : num 103012
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta12"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b12"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[12] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[12] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta13 :List of 11
##   .. .. .. ..$ hyperid           : num 103013
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta13"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b13"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[13] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[13] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta14 :List of 11
##   .. .. .. ..$ hyperid           : num 103014
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta14"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b14"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[14] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[14] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta15 :List of 11
##   .. .. .. ..$ hyperid           : num 103015
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta15"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b15"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[15] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[15] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta16 :List of 11
##   .. .. .. ..$ hyperid           : num 103016
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta16"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b16"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[16] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[16] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta17 :List of 11
##   .. .. .. ..$ hyperid           : num 103017
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta17"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b17"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[17] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[17] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta18 :List of 11
##   .. .. .. ..$ hyperid           : num 103018
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta18"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b18"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[18] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[18] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta19 :List of 11
##   .. .. .. ..$ hyperid           : num 103019
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta19"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b19"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[19] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[19] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta20 :List of 11
##   .. .. .. ..$ hyperid           : num 103020
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta20"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b20"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[20] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[20] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta21 :List of 11
##   .. .. .. ..$ hyperid           : num 103021
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta21"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b21"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[21] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[21] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta22 :List of 11
##   .. .. .. ..$ hyperid           : num 103022
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta22"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b22"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[22] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[22] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta23 :List of 11
##   .. .. .. ..$ hyperid           : num 103023
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta23"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b23"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[23] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[23] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta24 :List of 11
##   .. .. .. ..$ hyperid           : num 103024
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta24"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b24"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[24] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[24] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta25 :List of 11
##   .. .. .. ..$ hyperid           : num 103025
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta25"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b25"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[25] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[25] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta26 :List of 11
##   .. .. .. ..$ hyperid           : num 103026
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta26"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b26"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[26] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[26] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta27 :List of 11
##   .. .. .. ..$ hyperid           : num 103027
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta27"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b27"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[27] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[27] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta28 :List of 11
##   .. .. .. ..$ hyperid           : num 103028
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta28"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b28"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[28] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[28] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta29 :List of 11
##   .. .. .. ..$ hyperid           : num 103029
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta29"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b29"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[29] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[29] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta30 :List of 11
##   .. .. .. ..$ hyperid           : num 103030
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta30"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b30"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[30] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[30] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta31 :List of 11
##   .. .. .. ..$ hyperid           : num 103031
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta31"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b31"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[31] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[31] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta32 :List of 11
##   .. .. .. ..$ hyperid           : num 103032
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta32"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b32"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[32] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[32] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta33 :List of 11
##   .. .. .. ..$ hyperid           : num 103033
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta33"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b33"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[33] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[33] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta34 :List of 11
##   .. .. .. ..$ hyperid           : num 103034
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta34"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b34"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[34] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[34] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta35 :List of 11
##   .. .. .. ..$ hyperid           : num 103035
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta35"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b35"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[35] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[35] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta36 :List of 11
##   .. .. .. ..$ hyperid           : num 103036
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta36"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b36"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[36] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[36] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta37 :List of 11
##   .. .. .. ..$ hyperid           : num 103037
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta37"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b37"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[37] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[37] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta38 :List of 11
##   .. .. .. ..$ hyperid           : num 103038
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta38"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b38"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[38] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[38] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta39 :List of 11
##   .. .. .. ..$ hyperid           : num 103039
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta39"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b39"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[39] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[39] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta40 :List of 11
##   .. .. .. ..$ hyperid           : num 103040
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta40"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b40"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[40] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[40] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta41 :List of 11
##   .. .. .. ..$ hyperid           : num 103041
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta41"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b41"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[41] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[41] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta42 :List of 11
##   .. .. .. ..$ hyperid           : num 103042
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta42"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b42"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[42] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[42] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta43 :List of 11
##   .. .. .. ..$ hyperid           : num 103043
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta43"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b43"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[43] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[43] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta44 :List of 11
##   .. .. .. ..$ hyperid           : num 103044
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta44"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b44"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[44] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[44] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta45 :List of 11
##   .. .. .. ..$ hyperid           : num 103045
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta45"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b45"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[45] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[45] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta46 :List of 11
##   .. .. .. ..$ hyperid           : num 103046
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta46"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b46"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[46] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[46] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta47 :List of 11
##   .. .. .. ..$ hyperid           : num 103047
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta47"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b47"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[47] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[47] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta48 :List of 11
##   .. .. .. ..$ hyperid           : num 103048
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta48"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b48"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[48] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[48] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta49 :List of 11
##   .. .. .. ..$ hyperid           : num 103049
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta49"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b49"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[49] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[49] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta50 :List of 11
##   .. .. .. ..$ hyperid           : num 103050
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta50"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b50"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[50] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[50] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta51 :List of 11
##   .. .. .. ..$ hyperid           : num 103051
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta51"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b51"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[51] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[51] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta52 :List of 11
##   .. .. .. ..$ hyperid           : num 103052
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta52"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b52"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[52] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[52] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta53 :List of 11
##   .. .. .. ..$ hyperid           : num 103053
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta53"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b53"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[53] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[53] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta54 :List of 11
##   .. .. .. ..$ hyperid           : num 103054
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta54"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b54"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[54] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[54] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta55 :List of 11
##   .. .. .. ..$ hyperid           : num 103055
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta55"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b55"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[55] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[55] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta56 :List of 11
##   .. .. .. ..$ hyperid           : num 103056
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta56"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b56"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[56] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[56] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta57 :List of 11
##   .. .. .. ..$ hyperid           : num 103057
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta57"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b57"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[57] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[57] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta58 :List of 11
##   .. .. .. ..$ hyperid           : num 103058
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta58"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b58"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[58] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[58] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta59 :List of 11
##   .. .. .. ..$ hyperid           : num 103059
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta59"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b59"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[59] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[59] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta60 :List of 11
##   .. .. .. ..$ hyperid           : num 103060
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta60"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b60"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[60] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[60] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta61 :List of 11
##   .. .. .. ..$ hyperid           : num 103061
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta61"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b61"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[61] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[61] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta62 :List of 11
##   .. .. .. ..$ hyperid           : num 103062
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta62"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b62"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[62] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[62] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta63 :List of 11
##   .. .. .. ..$ hyperid           : num 103063
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta63"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b63"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[63] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[63] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta64 :List of 11
##   .. .. .. ..$ hyperid           : num 103064
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta64"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b64"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[64] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[64] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta65 :List of 11
##   .. .. .. ..$ hyperid           : num 103065
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta65"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b65"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[65] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[65] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta66 :List of 11
##   .. .. .. ..$ hyperid           : num 103066
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta66"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b66"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[66] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[66] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta67 :List of 11
##   .. .. .. ..$ hyperid           : num 103067
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta67"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b67"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[67] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[67] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta68 :List of 11
##   .. .. .. ..$ hyperid           : num 103068
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta68"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b68"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[68] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[68] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta69 :List of 11
##   .. .. .. ..$ hyperid           : num 103069
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta69"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b69"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[69] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[69] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta70 :List of 11
##   .. .. .. ..$ hyperid           : num 103070
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta70"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b70"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[70] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[70] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta71 :List of 11
##   .. .. .. ..$ hyperid           : num 103071
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta71"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b71"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[71] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[71] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta72 :List of 11
##   .. .. .. ..$ hyperid           : num 103072
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta72"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b72"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[72] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[72] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta73 :List of 11
##   .. .. .. ..$ hyperid           : num 103073
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta73"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b73"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[73] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[73] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta74 :List of 11
##   .. .. .. ..$ hyperid           : num 103074
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta74"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b74"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[74] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[74] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta75 :List of 11
##   .. .. .. ..$ hyperid           : num 103075
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta75"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b75"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[75] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[75] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta76 :List of 11
##   .. .. .. ..$ hyperid           : num 103076
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta76"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b76"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[76] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[76] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta77 :List of 11
##   .. .. .. ..$ hyperid           : num 103077
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta77"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b77"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[77] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[77] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta78 :List of 11
##   .. .. .. ..$ hyperid           : num 103078
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta78"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b78"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[78] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[78] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta79 :List of 11
##   .. .. .. ..$ hyperid           : num 103079
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta79"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b79"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[79] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[79] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta80 :List of 11
##   .. .. .. ..$ hyperid           : num 103080
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta80"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b80"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[80] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[80] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta81 :List of 11
##   .. .. .. ..$ hyperid           : num 103081
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta81"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b81"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[81] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[81] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta82 :List of 11
##   .. .. .. ..$ hyperid           : num 103082
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta82"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b82"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[82] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[82] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta83 :List of 11
##   .. .. .. ..$ hyperid           : num 103083
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta83"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b83"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[83] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[83] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta84 :List of 11
##   .. .. .. ..$ hyperid           : num 103084
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta84"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b84"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[84] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[84] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta85 :List of 11
##   .. .. .. ..$ hyperid           : num 103085
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta85"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b85"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[85] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[85] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta86 :List of 11
##   .. .. .. ..$ hyperid           : num 103086
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta86"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b86"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[86] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[86] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta87 :List of 11
##   .. .. .. ..$ hyperid           : num 103087
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta87"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b87"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[87] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[87] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta88 :List of 11
##   .. .. .. ..$ hyperid           : num 103088
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta88"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b88"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[88] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[88] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta89 :List of 11
##   .. .. .. ..$ hyperid           : num 103089
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta89"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b89"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[89] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[89] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta90 :List of 11
##   .. .. .. ..$ hyperid           : num 103090
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta90"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b90"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[90] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[90] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta91 :List of 11
##   .. .. .. ..$ hyperid           : num 103091
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta91"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b91"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[91] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[91] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta92 :List of 11
##   .. .. .. ..$ hyperid           : num 103092
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta92"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b92"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[92] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[92] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta93 :List of 11
##   .. .. .. ..$ hyperid           : num 103093
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta93"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b93"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[93] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[93] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
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##   ..$ .parent.frame    :<environment: R_GlobalEnv> 
##  $ call                       : chr [1:14] "inla.core(formula = formula, family = family, contrasts = contrasts, " "    data = data, quantiles = quantiles, E = E, offset = offset, " "    scale = scale, weights = weights, Ntrials = Ntrials, strata = strata, " "    lp.scale = lp.scale, link.covariates = link.covariates, verbose = verbose, " ...
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##   .. ..$ log      : chr [1:7] "2024-05-20 10:55:38.299938: iinla: Evaluate component inputs" "2024-05-20 10:55:38.349304: iinla: Evaluate component linearisations" "2024-05-20 10:55:45.930222: iinla: Evaluate component simplifications" "2024-05-20 10:55:53.383639: iinla: Evaluate predictor linearisation" ...
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##   .. ..$ new_linearisation: num [1:334377] 0 0 0 0 0 0 0 0 0 0 ...
##   ..$ timings   :'data.frame':   2 obs. of  5 variables:
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##  $ bru_timings                :'data.frame': 3 obs. of  5 variables:
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##   ..$ Iteration: num [1:3] 0 1 1
##   ..$ Time     : 'difftime' num [1:3] 0.0529999999999973 232.818 226.545
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##   ..$ System   : 'difftime' num [1:3] 0 1.558 0.952
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##   ..$ Elapsed  : 'difftime' num [1:3] 0.0529999999999973 233.499 71.059
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##   .. .. .. .. .. .. .. ..$ replicate: logi TRUE
##   .. .. .. .. .. .. ..$ n                : num 1
##   .. .. .. .. .. .. ..$ n_inla           : num 1
##   .. .. .. .. .. .. ..$ is_linear        : logi TRUE
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_multi" "bru_mapper" "list"
##   .. .. .. .. .. ..$ scale : list()
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_scale" "bru_mapper" "list"
##   .. .. .. .. ..$          : Named logi [1:2] TRUE TRUE
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ is_linear: logi TRUE
##   .. .. .. .. ..$ n_multi  : Named int [1:2] 1 NA
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ n        : num 1
##   .. .. .. .. ..$ names    : chr [1:2] "mapper" "scale"
##   .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_pipe" "bru_mapper" "list"
##   .. .. .. ..- attr(*, "class")= chr [1:2] "component" "list"
##   .. .. ..$ SpeedLimit:List of 12
##   .. .. .. ..$ label       : chr "SpeedLimit"
##   .. .. .. ..$ inla.formula:Class 'formula'  language ~. + f(SpeedLimit, model = BRU_SpeedLimit_main_model, ngroup = 1, nrep = 1,      values = BRU_SpeedLimit_values)
##   .. .. .. .. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
##   .. .. .. ..$ main        :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : symbol SpeedLimit
##   .. .. .. .. .. ..$ label   : chr "SpeedLimit"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        : list()
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_linear" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "linear"
##   .. .. .. .. ..$ type          : chr "linear"
##   .. .. .. .. ..$ n             : int 1
##   .. .. .. .. ..$ values        : num 1
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ group       :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : int 1
##   .. .. .. .. .. ..$ label   : chr "SpeedLimit.group"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 1
##   .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "exchangeable"
##   .. .. .. .. ..$ type          : chr "exchangeable"
##   .. .. .. .. ..$ n             : num 1
##   .. .. .. .. ..$ values        : int 1
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ replicate   :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : int 1
##   .. .. .. .. .. ..$ label   : chr "SpeedLimit.repl"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 1
##   .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "iid"
##   .. .. .. .. ..$ type          : chr "iid"
##   .. .. .. .. ..$ n             : num 1
##   .. .. .. .. ..$ values        : int 1
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ weights     : NULL
##   .. .. .. ..$ copy        : NULL
##   .. .. .. ..$ marginal    : NULL
##   .. .. .. ..$ env         :<environment: R_GlobalEnv> 
##   .. .. .. ..$ env_extra   :<environment: 0x63b7ff002400> 
##   .. .. .. ..$ fcall       : language "f"(SpeedLimit, model = BRU_SpeedLimit_main_model, ngroup = 1, nrep = 1,      values = BRU_SpeedLimit_values)
##   .. .. .. ..$ mapper      :List of 6
##   .. .. .. .. ..$ mappers  :List of 2
##   .. .. .. .. .. ..$ mapper:List of 9
##   .. .. .. .. .. .. ..$ mappers          :List of 3
##   .. .. .. .. .. .. .. ..$ main     : list()
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_linear" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ group    :List of 1
##   .. .. .. .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ replicate:List of 1
##   .. .. .. .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. .. .. ..$ n_multi          :List of 3
##   .. .. .. .. .. .. .. ..$ main     : int 1
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: num 1
##   .. .. .. .. .. .. ..$ n_inla_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : int 1
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: num 1
##   .. .. .. .. .. .. ..$ values_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 1
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int 1
##   .. .. .. .. .. .. ..$ values_inla_multi:List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 1
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int 1
##   .. .. .. .. .. .. ..$ is_linear_multi  :List of 3
##   .. .. .. .. .. .. .. ..$ main     : logi TRUE
##   .. .. .. .. .. .. .. ..$ group    : logi TRUE
##   .. .. .. .. .. .. .. ..$ replicate: logi TRUE
##   .. .. .. .. .. .. ..$ n                : num 1
##   .. .. .. .. .. .. ..$ n_inla           : num 1
##   .. .. .. .. .. .. ..$ is_linear        : logi TRUE
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_multi" "bru_mapper" "list"
##   .. .. .. .. .. ..$ scale : list()
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_scale" "bru_mapper" "list"
##   .. .. .. .. ..$          : Named logi [1:2] TRUE TRUE
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ is_linear: logi TRUE
##   .. .. .. .. ..$ n_multi  : Named int [1:2] 1 NA
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ n        : num 1
##   .. .. .. .. ..$ names    : chr [1:2] "mapper" "scale"
##   .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_pipe" "bru_mapper" "list"
##   .. .. .. ..- attr(*, "class")= chr [1:2] "component" "list"
##   .. .. ..$ field     :List of 12
##   .. .. .. ..$ label       : chr "field"
##   .. .. .. ..$ inla.formula:Class 'formula'  language ~. + f(field, model = BRU_field_main_model, replicate = field.repl, ngroup = 1,      nrep = 4L, values = BRU_field_values)
##   .. .. .. .. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
##   .. .. .. ..$ main        :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : symbol loc
##   .. .. .. .. .. ..$ label   : chr "field"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 1
##   .. .. .. .. .. ..$ model:List of 20
##   .. .. .. .. .. .. ..$ f                   :List of 3
##   .. .. .. .. .. .. .. ..$ model   : chr "cgeneric"
##   .. .. .. .. .. .. .. ..$ n       : int 41796
##   .. .. .. .. .. .. .. ..$ cgeneric:List of 5
##   .. .. .. .. .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_stat_general_model"
##   .. .. .. .. .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. ..$ n    : int 41796
##   .. .. .. .. .. .. .. .. ..$ debug: logi FALSE
##   .. .. .. .. .. .. .. .. ..$ data :List of 5
##   .. .. .. .. .. .. .. .. .. ..$ ints      :List of 5
##   .. .. .. .. .. .. .. .. .. .. ..$ n          : int 41796
##   .. .. .. .. .. .. .. .. .. .. ..$ debug      : int 0
##   .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_i: int [1:186659] 0 0 0 0 0 0 0 0 0 1 ...
##   .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_j: int [1:186659] 0 1 805 5399 5681 8781 11429 11463 13882 1 ...
##   .. .. .. .. .. .. .. .. .. .. ..$ rspde.order: int 2
##   .. .. .. .. .. .. .. .. .. ..$ doubles   :List of 11
##   .. .. .. .. .. .. .. .. .. .. ..$ d                   : num 1
##   .. .. .. .. .. .. .. .. .. .. ..$ nu.upper.bound      : num 1.5
##   .. .. .. .. .. .. .. .. .. .. ..$ matrices_less       : num [1:143229] 0.0534 0 0 0 0 ...
##   .. .. .. .. .. .. .. .. .. .. ..$ matrices_full       : num [1:277832] 0.0534 0 0 0 0 ...
##   .. .. .. .. .. .. .. .. .. .. ..$ start.theta         : num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean    : num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. .. ..$ prior.nu.loglocation: num -0.288
##   .. .. .. .. .. .. .. .. .. .. ..$ prior.nu.mean       : num 0.75
##   .. .. .. .. .. .. .. .. .. .. ..$ prior.nu.prec       : num 3
##   .. .. .. .. .. .. .. .. .. .. ..$ prior.nu.logscale   : num 1
##   .. .. .. .. .. .. .. .. .. .. ..$ start.nu            : num 0.75
##   .. .. .. .. .. .. .. .. .. ..$ characters:List of 5
##   .. .. .. .. .. .. .. .. .. .. ..$ model            : chr "inla_cgeneric_rspde_stat_general_model"
##   .. .. .. .. .. .. .. .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. .. ..$ prior.nu.dist    : chr "lognormal"
##   .. .. .. .. .. .. .. .. .. .. ..$ parameterization : chr "matern"
##   .. .. .. .. .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. .. .. .. .. ..$ matrices  :List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ rational_table  : num [1:5996] 999 6 0.001 0.412 0.005 ...
##   .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec: num [1:6] 2 2 0.1 0 0 0.1
##   .. .. .. .. .. .. .. .. .. ..$ smatrices : list()
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr "inla.cgeneric"
##   .. .. .. .. .. .. ..$ cgeneric_type       : chr "general"
##   .. .. .. .. .. .. ..$ theta.prior.mean    : num [1:2] 0 1.35
##   .. .. .. .. .. .. ..$ prior.nu            :List of 4
##   .. .. .. .. .. .. .. ..$ loglocation: num -0.288
##   .. .. .. .. .. .. .. ..$ mean       : num 0.75
##   .. .. .. .. .. .. .. ..$ prec       : num 3
##   .. .. .. .. .. .. .. ..$ logscale   : num 1
##   .. .. .. .. .. .. ..$ theta.prior.prec    : num [1:2, 1:2] 0.1 0 0 0.1
##   .. .. .. .. .. .. ..$ start.nu            : num 0.75
##   .. .. .. .. .. .. ..$ integer.nu          : logi FALSE
##   .. .. .. .. .. .. ..$ start.theta         : num [1:2] 0 1.35
##   .. .. .. .. .. .. ..$ stationary          : logi TRUE
##   .. .. .. .. .. .. ..$ rspde.order         : num 2
##   .. .. .. .. .. .. ..$ dim                 : num 1
##   .. .. .. .. .. .. ..$ est_nu              : logi TRUE
##   .. .. .. .. .. .. ..$ nu.upper.bound      : num 1.5
##   .. .. .. .. .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. .. .. .. .. ..$ debug               : logi FALSE
##   .. .. .. .. .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. .. .. .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. .. .. .. .. ..$ fem_mesh            :List of 5
##   .. .. .. .. .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g4:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:175232] 0 1 804 805 4450 5399 5681 8781 11429 11463 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 11 23 32 41 58 76 89 98 116 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:175232] 2.12e+14 1.39e+12 8.54e+11 -8.78e+12 1.53e+10 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ parameterization    : chr "matern"
##   .. .. .. .. .. .. ..$ n.spde              : int 13932
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_inla_rspde" "bru_mapper" "list"
##   .. .. .. .. ..$ model         :List of 20
##   .. .. .. .. .. ..$ f                   :List of 3
##   .. .. .. .. .. .. ..$ model   : chr "cgeneric"
##   .. .. .. .. .. .. ..$ n       : int 41796
##   .. .. .. .. .. .. ..$ cgeneric:List of 5
##   .. .. .. .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_stat_general_model"
##   .. .. .. .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. ..$ n    : int 41796
##   .. .. .. .. .. .. .. ..$ debug: logi FALSE
##   .. .. .. .. .. .. .. ..$ data :List of 5
##   .. .. .. .. .. .. .. .. ..$ ints      :List of 5
##   .. .. .. .. .. .. .. .. .. ..$ n          : int 41796
##   .. .. .. .. .. .. .. .. .. ..$ debug      : int 0
##   .. .. .. .. .. .. .. .. .. ..$ graph_opt_i: int [1:186659] 0 0 0 0 0 0 0 0 0 1 ...
##   .. .. .. .. .. .. .. .. .. ..$ graph_opt_j: int [1:186659] 0 1 805 5399 5681 8781 11429 11463 13882 1 ...
##   .. .. .. .. .. .. .. .. .. ..$ rspde.order: int 2
##   .. .. .. .. .. .. .. .. ..$ doubles   :List of 11
##   .. .. .. .. .. .. .. .. .. ..$ d                   : num 1
##   .. .. .. .. .. .. .. .. .. ..$ nu.upper.bound      : num 1.5
##   .. .. .. .. .. .. .. .. .. ..$ matrices_less       : num [1:143229] 0.0534 0 0 0 0 ...
##   .. .. .. .. .. .. .. .. .. ..$ matrices_full       : num [1:277832] 0.0534 0 0 0 0 ...
##   .. .. .. .. .. .. .. .. .. ..$ start.theta         : num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean    : num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu.loglocation: num -0.288
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu.mean       : num 0.75
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu.prec       : num 3
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu.logscale   : num 1
##   .. .. .. .. .. .. .. .. .. ..$ start.nu            : num 0.75
##   .. .. .. .. .. .. .. .. ..$ characters:List of 5
##   .. .. .. .. .. .. .. .. .. ..$ model            : chr "inla_cgeneric_rspde_stat_general_model"
##   .. .. .. .. .. .. .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu.dist    : chr "lognormal"
##   .. .. .. .. .. .. .. .. .. ..$ parameterization : chr "matern"
##   .. .. .. .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. .. .. .. ..$ matrices  :List of 2
##   .. .. .. .. .. .. .. .. .. ..$ rational_table  : num [1:5996] 999 6 0.001 0.412 0.005 ...
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec: num [1:6] 2 2 0.1 0 0 0.1
##   .. .. .. .. .. .. .. .. ..$ smatrices : list()
##   .. .. .. .. .. .. .. ..- attr(*, "class")= chr "inla.cgeneric"
##   .. .. .. .. .. ..$ cgeneric_type       : chr "general"
##   .. .. .. .. .. ..$ theta.prior.mean    : num [1:2] 0 1.35
##   .. .. .. .. .. ..$ prior.nu            :List of 4
##   .. .. .. .. .. .. ..$ loglocation: num -0.288
##   .. .. .. .. .. .. ..$ mean       : num 0.75
##   .. .. .. .. .. .. ..$ prec       : num 3
##   .. .. .. .. .. .. ..$ logscale   : num 1
##   .. .. .. .. .. ..$ theta.prior.prec    : num [1:2, 1:2] 0.1 0 0 0.1
##   .. .. .. .. .. ..$ start.nu            : num 0.75
##   .. .. .. .. .. ..$ integer.nu          : logi FALSE
##   .. .. .. .. .. ..$ start.theta         : num [1:2] 0 1.35
##   .. .. .. .. .. ..$ stationary          : logi TRUE
##   .. .. .. .. .. ..$ rspde.order         : num 2
##   .. .. .. .. .. ..$ dim                 : num 1
##   .. .. .. .. .. ..$ est_nu              : logi TRUE
##   .. .. .. .. .. ..$ nu.upper.bound      : num 1.5
##   .. .. .. .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. .. .. .. ..$ debug               : logi FALSE
##   .. .. .. .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. .. .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. .. .. .. ..$ fem_mesh            :List of 5
##   .. .. .. .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g4:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:175232] 0 1 804 805 4450 5399 5681 8781 11429 11463 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 11 23 32 41 58 76 89 98 116 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:175232] 2.12e+14 1.39e+12 8.54e+11 -8.78e+12 1.53e+10 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. ..$ parameterization    : chr "matern"
##   .. .. .. .. .. ..$ n.spde              : int 13932
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
##   .. .. .. .. ..$ type          : chr "cgeneric"
##   .. .. .. .. ..$ n             : num 41796
##   .. .. .. .. ..$ values        : int [1:41796] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ group       :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : int 1
##   .. .. .. .. .. ..$ label   : chr "field.group"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 1
##   .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "exchangeable"
##   .. .. .. .. ..$ type          : chr "exchangeable"
##   .. .. .. .. ..$ n             : num 1
##   .. .. .. .. ..$ values        : int 1
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ replicate   :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : language data_rspde_bru_stat[["repl"]]
##   .. .. .. .. .. ..$ label   : chr "field.repl"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 4
##   .. .. .. .. .. ..$ levels        : chr [1:4] "1" "2" "3" "4"
##   .. .. .. .. .. ..$ factor_mapping: chr "full"
##   .. .. .. .. .. ..$ indexed       : logi TRUE
##   .. .. .. .. .. ..$ n             : int 4
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:4] "bru_mapper_factor_index" "bru_mapper_factor" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "iid"
##   .. .. .. .. ..$ type          : chr "iid"
##   .. .. .. .. ..$ n             : int 4
##   .. .. .. .. ..$ values        : int [1:4] 1 2 3 4
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ weights     : NULL
##   .. .. .. ..$ copy        : NULL
##   .. .. .. ..$ marginal    : NULL
##   .. .. .. ..$ env         :<environment: R_GlobalEnv> 
##   .. .. .. ..$ env_extra   :<environment: 0x63b7fefcaa48> 
##   .. .. .. ..$ fcall       : language "f"(field, model = BRU_field_main_model, replicate = field.repl, ngroup = 1,      nrep = 4L, values = BRU_field_values)
##   .. .. .. ..$ mapper      :List of 6
##   .. .. .. .. ..$ mappers  :List of 2
##   .. .. .. .. .. ..$ mapper:List of 9
##   .. .. .. .. .. .. ..$ mappers          :List of 3
##   .. .. .. .. .. .. .. ..$ main     :List of 1
##   .. .. .. .. .. .. .. .. ..$ model:List of 20
##   .. .. .. .. .. .. .. .. .. ..$ f                   :List of 3
##   .. .. .. .. .. .. .. .. .. .. ..$ model   : chr "cgeneric"
##   .. .. .. .. .. .. .. .. .. .. ..$ n       : int 41796
##   .. .. .. .. .. .. .. .. .. .. ..$ cgeneric:List of 5
##   .. .. .. .. .. .. .. .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_stat_general_model"
##   .. .. .. .. .. .. .. .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. .. .. ..$ n    : int 41796
##   .. .. .. .. .. .. .. .. .. .. .. ..$ debug: logi FALSE
##   .. .. .. .. .. .. .. .. .. .. .. ..$ data :List of 5
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ ints      :List of 5
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ n          : int 41796
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ debug      : int 0
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_i: int [1:186659] 0 0 0 0 0 0 0 0 0 1 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_j: int [1:186659] 0 1 805 5399 5681 8781 11429 11463 13882 1 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ rspde.order: int 2
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ doubles   :List of 11
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ d                   : num 1
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ nu.upper.bound      : num 1.5
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ matrices_less       : num [1:143229] 0.0534 0 0 0 0 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ matrices_full       : num [1:277832] 0.0534 0 0 0 0 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ start.theta         : num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean    : num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ prior.nu.loglocation: num -0.288
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ prior.nu.mean       : num 0.75
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ prior.nu.prec       : num 3
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ prior.nu.logscale   : num 1
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ start.nu            : num 0.75
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ characters:List of 5
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ model            : chr "inla_cgeneric_rspde_stat_general_model"
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ prior.nu.dist    : chr "lognormal"
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ parameterization : chr "matern"
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ matrices  :List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ rational_table  : num [1:5996] 999 6 0.001 0.412 0.005 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec: num [1:6] 2 2 0.1 0 0 0.1
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ smatrices : list()
##   .. .. .. .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr "inla.cgeneric"
##   .. .. .. .. .. .. .. .. .. ..$ cgeneric_type       : chr "general"
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean    : num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu            :List of 4
##   .. .. .. .. .. .. .. .. .. .. ..$ loglocation: num -0.288
##   .. .. .. .. .. .. .. .. .. .. ..$ mean       : num 0.75
##   .. .. .. .. .. .. .. .. .. .. ..$ prec       : num 3
##   .. .. .. .. .. .. .. .. .. .. ..$ logscale   : num 1
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec    : num [1:2, 1:2] 0.1 0 0 0.1
##   .. .. .. .. .. .. .. .. .. ..$ start.nu            : num 0.75
##   .. .. .. .. .. .. .. .. .. ..$ integer.nu          : logi FALSE
##   .. .. .. .. .. .. .. .. .. ..$ start.theta         : num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. ..$ stationary          : logi TRUE
##   .. .. .. .. .. .. .. .. .. ..$ rspde.order         : num 2
##   .. .. .. .. .. .. .. .. .. ..$ dim                 : num 1
##   .. .. .. .. .. .. .. .. .. ..$ est_nu              : logi TRUE
##   .. .. .. .. .. .. .. .. .. ..$ nu.upper.bound      : num 1.5
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. .. .. .. .. .. .. .. ..$ debug               : logi FALSE
##   .. .. .. .. .. .. .. .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. .. .. .. .. .. .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. .. .. .. .. .. .. .. ..$ fem_mesh            :List of 5
##   .. .. .. .. .. .. .. .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
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##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g4:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:175232] 0 1 804 805 4450 5399 5681 8781 11429 11463 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 11 23 32 41 58 76 89 98 116 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:175232] 2.12e+14 1.39e+12 8.54e+11 -8.78e+12 1.53e+10 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. ..$ parameterization    : chr "matern"
##   .. .. .. .. .. .. .. .. .. ..$ n.spde              : int 13932
##   .. .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_inla_rspde" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ group    :List of 1
##   .. .. .. .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ replicate:List of 4
##   .. .. .. .. .. .. .. .. ..$ levels        : chr [1:4] "1" "2" "3" "4"
##   .. .. .. .. .. .. .. .. ..$ factor_mapping: chr "full"
##   .. .. .. .. .. .. .. .. ..$ indexed       : logi TRUE
##   .. .. .. .. .. .. .. .. ..$ n             : int 4
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:4] "bru_mapper_factor_index" "bru_mapper_factor" "bru_mapper" "list"
##   .. .. .. .. .. .. ..$ n_multi          :List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 41796
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: int 4
##   .. .. .. .. .. .. ..$ n_inla_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 41796
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: int 4
##   .. .. .. .. .. .. ..$ values_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : int [1:41796] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int [1:4] 1 2 3 4
##   .. .. .. .. .. .. ..$ values_inla_multi:List of 3
##   .. .. .. .. .. .. .. ..$ main     : int [1:41796] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int [1:4] 1 2 3 4
##   .. .. .. .. .. .. ..$ is_linear_multi  :List of 3
##   .. .. .. .. .. .. .. ..$ main     : logi TRUE
##   .. .. .. .. .. .. .. ..$ group    : logi TRUE
##   .. .. .. .. .. .. .. ..$ replicate: logi TRUE
##   .. .. .. .. .. .. ..$ n                : num 167184
##   .. .. .. .. .. .. ..$ n_inla           : num 167184
##   .. .. .. .. .. .. ..$ is_linear        : logi TRUE
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_multi" "bru_mapper" "list"
##   .. .. .. .. .. ..$ scale : list()
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_scale" "bru_mapper" "list"
##   .. .. .. .. ..$          : Named logi [1:2] TRUE TRUE
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ is_linear: logi TRUE
##   .. .. .. .. ..$ n_multi  : Named int [1:2] 167184 NA
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ n        : num 167184
##   .. .. .. .. ..$ names    : chr [1:2] "mapper" "scale"
##   .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_pipe" "bru_mapper" "list"
##   .. .. .. ..- attr(*, "class")= chr [1:2] "component" "list"
##   .. .. ..- attr(*, "class")= chr [1:2] "component_list" "list"
##   .. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
##   .. ..$ formula:Class 'formula'  language BRU_response ~ f(Intercept, model = BRU_Intercept_main_model, ngroup = 1,      nrep = 1, values = BRU_Intercept_v| __truncated__ ...
##   .. .. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
##   .. ..- attr(*, "class")= chr [1:2] "bru_model" "list"
##   ..$ lhoods         :List of 1
##   .. ..$ :List of 17
##   .. .. ..$ family        : chr "gaussian"
##   .. .. ..$ formula       :Class 'formula'  language speed ~ .
##   .. .. .. .. ..- attr(*, ".Environment")=<environment: 0x63b7ff6e9438> 
##   .. .. ..$ response_data :List of 4
##   .. .. .. ..$ BRU_response: num [1:25842] 99.8 91.7 99.8 14.5 16.1 ...
##   .. .. .. ..$ BRU_E       : num 1
##   .. .. .. ..$ BRU_Ntrials : num 1
##   .. .. .. ..$ BRU_scale   : num 1
##   .. .. ..$ data          :List of 8
##   .. .. .. ..$ speed            : num [1:25842] 99.8 91.7 99.8 14.5 16.1 ...
##   .. .. .. ..$ SpeedLimit       : num [1:25842] 4.09 4.09 4.09 -1.04 -1.04 ...
##   .. .. .. ..$ .coord_x         : num [1:25842] -122 -122 -122 -122 -122 ...
##   .. .. .. ..$ .coord_y         : num [1:25842] 37.7 37.7 37.7 37.8 37.8 ...
##   .. .. .. ..$ .edge_number     : num [1:25842] 2 2 2 3 3 3 5 6 6 6 ...
##   .. .. .. ..$ .distance_on_edge: num [1:25842] 0.195 0.227 0.363 0.309 0.583 ...
##   .. .. .. ..$ .group           : chr [1:25842] "1" "1" "1" "1" ...
##   .. .. .. ..$ loc              : num [1:25842, 1:2] 2 2 2 3 3 3 5 6 6 6 ...
##   .. .. .. ..- attr(*, "class")= chr [1:2] "metric_graph_data" "list"
##   .. .. ..$ E             : num 1
##   .. .. ..$ Ntrials       : num 1
##   .. .. ..$ weights       : num 1
##   .. .. ..$ scale         : num 1
##   .. .. ..$ samplers      : NULL
##   .. .. ..$ linear        : logi TRUE
##   .. .. ..$ expr          : NULL
##   .. .. ..$ response      : chr "BRU_response"
##   .. .. ..$ inla.family   : chr "gaussian"
##   .. .. ..$ domain        : NULL
##   .. .. ..$ used          :List of 2
##   .. .. .. ..$ effect: chr [1:3] "Intercept" "SpeedLimit" "field"
##   .. .. .. ..$ latent: chr(0) 
##   .. .. .. ..- attr(*, "class")= chr "bru_used"
##   .. .. ..$ allow_combine : logi TRUE
##   .. .. ..$ control.family: NULL
##   .. .. ..- attr(*, "class")= chr [1:2] "bru_like" "list"
##   .. ..- attr(*, "class")= chr [1:2] "bru_like_list" "list"
##   ..$ options        :List of 14
##   .. ..$ bru_verbose      : num 0
##   .. ..$ bru_verbose_store: num Inf
##   .. ..$ bru_max_iter     : num 1
##   .. ..$ bru_run          : logi TRUE
##   .. ..$ bru_int_args     :List of 3
##   .. .. ..$ method: chr "stable"
##   .. .. ..$ nsub1 : num 30
##   .. .. ..$ nsub2 : num 9
##   .. ..$ bru_method       :List of 6
##   .. .. ..$ taylor         : chr "pandemic"
##   .. .. ..$ search         : chr "all"
##   .. .. ..$ factor         : num 1.62
##   .. .. ..$ rel_tol        : num 0.1
##   .. .. ..$ max_step       : num 2
##   .. .. ..$ line_opt_method: chr "onestep"
##   .. ..$ bru_compress_cp  : logi TRUE
##   .. ..$ bru_debug        : logi FALSE
##   .. ..$ E                : num 1
##   .. ..$ Ntrials          : num 1
##   .. ..$ control.compute  :List of 3
##   .. .. ..$ config: logi TRUE
##   .. .. ..$ dic   : logi TRUE
##   .. .. ..$ waic  : logi TRUE
##   .. ..$ control.inla     :List of 1
##   .. .. ..$ int.strategy: chr "auto"
##   .. ..$ control.fixed    :List of 1
##   .. .. ..$ expand.factor.strategy: chr "inla"
##   .. ..$ verbose          : logi FALSE
##   .. ..- attr(*, "class")= chr [1:2] "bru_options" "list"
##   ..$ inlabru_version: Named chr "2.10.1.9007"
##   .. ..- attr(*, "names")= chr "version"
##   ..$ INLA_version   : Named chr "24.05.18-2"
##   .. ..- attr(*, "names")= chr "version"
##   ..- attr(*, "class")= chr [1:2] "bru_info" "list"
##  - attr(*, "class")= chr [1:3] "bru" "iinla" "inla"
stat.time.fin <- Sys.time()
print(stat.time.fin - stat.time.ini)
## Time difference of 5.284549 mins
summary(rspde_fit_stat)
## inlabru version: 2.10.1.9007
## INLA version: 24.05.18-2
## Components:
## Intercept: main = linear(1), group = exchangeable(1L), replicate = iid(1L)
## SpeedLimit: main = linear(SpeedLimit), group = exchangeable(1L), replicate = iid(1L)
## field: main = cgeneric(loc), group = exchangeable(1L), replicate = iid(data_rspde_bru_stat[["repl"]])
## Likelihoods:
##   Family: 'gaussian'
##     Data class: 'metric_graph_data', 'list'
##     Predictor: speed ~ .
## Time used:
##     Pre = 0.432, Running = 60.7, Post = 9.82, Total = 70.9 
## Fixed effects:
##              mean    sd 0.025quant 0.5quant 0.975quant   mode kld
## Intercept  29.732 0.305     29.140   29.730     30.336 29.730   0
## SpeedLimit  6.548 0.209      6.134    6.551      6.950  6.551   0
## 
## Random effects:
##   Name     Model
##     field CGeneric
## 
## Model hyperparameters:
##                                           mean    sd 0.025quant 0.5quant
## Precision for the Gaussian observations  0.009 0.000      0.009    0.009
## Theta1 for field                         3.433 0.074      3.307    3.427
## Theta2 for field                        -1.570 0.085     -1.745   -1.567
## Theta3 for field                        -3.091 0.187     -3.502   -3.076
##                                         0.975quant   mode
## Precision for the Gaussian observations      0.009  0.009
## Theta1 for field                             3.594  3.400
## Theta2 for field                            -1.411 -1.553
## Theta3 for field                            -2.774 -3.003
## 
## Deviance Information Criterion (DIC) ...............: 202372.85
## Deviance Information Criterion (DIC, saturated) ....: 32683.80
## Effective number of parameters .....................: 6861.92
## 
## Watanabe-Akaike information criterion (WAIC) ...: 202720.94
## Effective number of parameters .................: 5864.56
## 
## Marginal log-Likelihood:  -104365.56 
##  is computed 
## Posterior summaries for the linear predictor and the fitted values are computed
## (Posterior marginals needs also 'control.compute=list(return.marginals.predictor=TRUE)')
fit.rspde = rspde.result(rspde_fit_stat, "field", rspde_model_stat)
summary(fit.rspde)
##               mean        sd 0.025quant   0.5quant 0.975quant       mode
## std.dev 31.0402000 2.3187800 27.3130000 30.7368000 36.3144000 29.8586000
## range    0.2088910 0.0175088  0.1749370  0.2089010  0.2434720  0.2099450
## nu       0.0662455 0.0113909  0.0440663  0.0664647  0.0880063  0.0678733

1.2 Nonstationary model

  • Observe that we are using the computed parameters from the stationary model as initial values for the nonstationary models.
nonstat.time.ini <- Sys.time()
################################################################################
############################# NON STATIONARY MODEL #############################
################################################################################

B.sigma = cbind(0, 1, 0, mesh$SpeedLimit, 0)
B.range = cbind(0, 0, 1, 0, mesh$SpeedLimit)
init.vec.theta = c(fit.rspde$summary.log.std.dev$mode, 
                   fit.rspde$summary.log.range$mode, 
                   rep(0, (ncol(B.sigma)-3)))

rspde_model_nonstat <- rspde.metric_graph(sf_graph,
                                          start.theta = init.vec.theta,
                                          theta.prior.mean = init.vec.theta,
                                          B.sigma = B.sigma,
                                          B.range = B.range,
                                          parameterization = "matern",
                                          nu.upper.bound = 1.5)
str(rspde_model_nonstat)
## List of 20
##  $ f                   :List of 3
##   ..$ model   : chr "cgeneric"
##   ..$ n       : int 41796
##   ..$ cgeneric:List of 5
##   .. ..$ model: chr "inla_cgeneric_rspde_nonstat_general_model"
##   .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. ..$ n    : int 41796
##   .. ..$ debug: logi FALSE
##   .. ..$ data :List of 5
##   .. .. ..$ ints      :List of 6
##   .. .. .. ..$ n          : int 41796
##   .. .. .. ..$ debug      : int 0
##   .. .. .. ..$ graph_opt_i: int [1:186659] 0 0 0 0 0 0 0 0 0 1 ...
##   .. .. .. ..$ graph_opt_j: int [1:186659] 0 1 805 5399 5681 8781 11429 11463 13882 1 ...
##   .. .. .. ..$ rspde_order: int 2
##   .. .. .. ..$ matern_par : int 1
##   .. .. ..$ doubles   :List of 9
##   .. .. .. ..$ d                   : num 1
##   .. .. .. ..$ nu_upper_bound      : num 1.5
##   .. .. .. ..$ prior.nu.loglocation: num -0.288
##   .. .. .. ..$ prior.nu.logscale   : num 1
##   .. .. .. ..$ prior.nu.mean       : num 0.75
##   .. .. .. ..$ prior.nu.prec       : num 3
##   .. .. .. ..$ start.nu            : num 0.75
##   .. .. .. ..$ start.theta         : num [1:4] 3.4 -1.55 0 0
##   .. .. .. ..$ theta.prior.mean    : num [1:4] 3.4 -1.55 0 0
##   .. .. ..$ characters:List of 4
##   .. .. .. ..$ model            : chr "inla_cgeneric_rspde_nonstat_general_model"
##   .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. ..$ prior.nu.dist    : chr "lognormal"
##   .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. ..$ matrices  :List of 4
##   .. .. .. ..$ rational_table  : num [1:5996] 999 6 0.001 0.412 0.005 ...
##   .. .. .. ..$ B_tau           : num [1:69662] 13932 5 -1.15 -1 0.75 ...
##   .. .. .. ..$ B_kappa         : num [1:69662] 13932 5 0.896 0 -1 ...
##   .. .. .. ..$ theta.prior.prec: num [1:18] 4 4 0.1 0 0 0 0 0.1 0 0 ...
##   .. .. ..$ smatrices :List of 2
##   .. .. .. ..$ C: num [1:41799] 13932 13932 13932 0 1 ...
##   .. .. .. ..$ G: num [1:132615] 13932 13932 44204 0 5681 ...
##   .. ..- attr(*, "class")= chr "inla.cgeneric"
##  $ cgeneric_type       : chr "general"
##  $ theta.prior.mean    : num [1:4] 3.4 -1.55 0 0
##  $ prior.nu            :List of 4
##   ..$ loglocation: num -0.288
##   ..$ mean       : num 0.75
##   ..$ prec       : num 3
##   ..$ logscale   : num 1
##  $ theta.prior.prec    : num [1:4, 1:4] 0.1 0 0 0 0 0.1 0 0 0 0 ...
##  $ start.nu            : num 0.75
##  $ integer.nu          : logi FALSE
##  $ start.theta         : num [1:4] 3.4 -1.55 0 0
##  $ stationary          : logi FALSE
##  $ rspde.order         : num 2
##  $ dim                 : num 1
##  $ est_nu              : logi TRUE
##  $ nu.upper.bound      : num 1.5
##  $ prior.nu.dist       : chr "lognormal"
##  $ debug               : logi FALSE
##  $ type.rational.approx: chr "chebfun"
##  $ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##  $ fem_mesh            :List of 5
##   ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. ..@ factors : list()
##   ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. ..@ factors : list()
##   ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. ..@ factors : list()
##   ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. ..@ factors : list()
##   ..$ g4:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:175232] 0 1 804 805 4450 5399 5681 8781 11429 11463 ...
##   .. .. ..@ p       : int [1:13933] 0 11 23 32 41 58 76 89 98 116 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:175232] 2.12e+14 1.39e+12 8.54e+11 -8.78e+12 1.53e+10 ...
##   .. .. ..@ factors : list()
##  $ parameterization    : chr "matern"
##  $ n.spde              : int 13932
##  - attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
data_rspde_bru_nonstat <- graph_data_rspde(rspde_model_nonstat,
                                           repl = ".all",
                                           loc_name = "loc")
str(data_rspde_bru_nonstat)
## List of 4
##  $ data :List of 8
##   ..$ speed            : num [1:25842] 99.8 91.7 99.8 14.5 16.1 ...
##   ..$ SpeedLimit       : num [1:25842] 4.09 4.09 4.09 -1.04 -1.04 ...
##   ..$ .coord_x         : num [1:25842] -122 -122 -122 -122 -122 ...
##   ..$ .coord_y         : num [1:25842] 37.7 37.7 37.7 37.8 37.8 ...
##   ..$ .edge_number     : num [1:25842] 2 2 2 3 3 3 5 6 6 6 ...
##   ..$ .distance_on_edge: num [1:25842] 0.195 0.227 0.363 0.309 0.583 ...
##   ..$ .group           : chr [1:25842] "1" "1" "1" "1" ...
##   ..$ loc              : num [1:25842, 1:2] 2 2 2 3 3 3 5 6 6 6 ...
##   ..- attr(*, "class")= chr [1:2] "metric_graph_data" "list"
##  $ index:List of 3
##   ..$ field      : int [1:55728] 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ field.group: int [1:55728] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ field.repl : int [1:55728] 1 1 1 1 1 1 1 1 1 1 ...
##   ..- attr(*, "class")= chr [1:2] "inla_rspde_index" "list"
##   ..- attr(*, "rspde.order")= num 0
##   ..- attr(*, "integer_nu")= logi TRUE
##   ..- attr(*, "n.mesh")= int 13932
##   ..- attr(*, "name")= chr "field"
##   ..- attr(*, "n.group")= int 1
##   ..- attr(*, "n.repl")= int 4
##  $ repl : chr [1:25842] "1" "1" "1" "1" ...
##  $ basis:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. ..@ i       : int [1:155052] 0 1 3 8 9 10 11 12 13 14 ...
##   .. ..@ p       : int [1:167185] 0 0 0 2 2 10 16 16 16 21 ...
##   .. ..@ Dim     : int [1:2] 25842 167184
##   .. ..@ Dimnames:List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : NULL
##   .. ..@ x       : num [1:155052] 0.416 0.319 0.382 0.224 0.509 ...
##   .. ..@ factors : list()
cmp_nonstat = speed ~ -1 +
  Intercept(1) +
  SpeedLimit +
  field(loc, model = rspde_model_nonstat,
        replicate = data_rspde_bru_nonstat[["repl"]])

rspde_fit_nonstat <-
  bru(cmp_nonstat,
      data = data_rspde_bru_nonstat[["data"]],
      family = "gaussian",
      options = list(verbose = FALSE)
  )
str(rspde_fit_nonstat)
## List of 56
##  $ names.fixed                : chr [1:2] "Intercept" "SpeedLimit"
##  $ summary.fixed              :'data.frame': 2 obs. of  7 variables:
##   ..$ mean      : num [1:2] 29.75 6.55
##   ..$ sd        : num [1:2] 0.301 0.196
##   ..$ 0.025quant: num [1:2] 29.17 6.17
##   ..$ 0.5quant  : num [1:2] 29.75 6.55
##   ..$ 0.975quant: num [1:2] 30.34 6.94
##   ..$ mode      : num [1:2] 29.75 6.55
##   ..$ kld       : num [1:2] 5.13e-09 7.23e-08
##  $ marginals.fixed            :List of 2
##   ..$ Intercept : num [1:43, 1:2] 28.5 28.6 28.8 29.1 29.2 ...
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ SpeedLimit: num [1:43, 1:2] 5.76 5.86 5.97 6.11 6.17 ...
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##  $ summary.lincomb            :'data.frame': 0 obs. of  0 variables
##  $ marginals.lincomb          : NULL
##  $ size.lincomb               : NULL
##  $ summary.lincomb.derived    :'data.frame': 0 obs. of  0 variables
##  $ marginals.lincomb.derived  : NULL
##  $ size.lincomb.derived       : NULL
##  $ mlik                       : num [1:2, 1] -104387 -104382
##   ..- attr(*, "dimnames")=List of 2
##   .. ..$ : chr [1:2] "log marginal-likelihood (integration)" "log marginal-likelihood (Gaussian)"
##   .. ..$ : NULL
##  $ cpo                        :List of 3
##   ..$ cpo    : logi(0) 
##   ..$ pit    : logi(0) 
##   ..$ failure: logi(0) 
##  $ gcpo                       :List of 5
##   ..$ gcpo  : NULL
##   ..$ kld   : NULL
##   ..$ mean  : NULL
##   ..$ sd    : NULL
##   ..$ groups: NULL
##  $ po                         :List of 1
##   ..$ po: num [1:25842] 0.0282 0.0329 0.0287 0.034 0.0319 ...
##  $ waic                       :List of 4
##   ..$ waic       : num 202706
##   ..$ p.eff      : num 5885
##   ..$ local.waic : num [1:25842] 7.46 6.92 7.47 6.81 7.04 ...
##   ..$ local.p.eff: num [1:25842] 0.164 0.0458 0.1864 0.0247 0.0729 ...
##  $ residuals                  :List of 1
##   ..$ deviance.residuals: num [1:25842] 0.832 -0.543 0.817 -0.471 -0.622 ...
##  $ model.random               : chr "CGeneric"
##  $ summary.random             :List of 1
##   ..$ field:'data.frame':    167184 obs. of  8 variables:
##   .. ..$ ID        : num [1:167184] 1 2 3 4 5 6 7 8 9 10 ...
##   .. ..$ mean      : num [1:167184] -0.862 -0.294 10.62 6.528 -6.707 ...
##   .. ..$ sd        : num [1:167184] 8.27 8.27 10.66 12.01 8.3 ...
##   .. ..$ 0.025quant: num [1:167184] -17.1 -16.5 -10.3 -17 -23 ...
##   .. ..$ 0.5quant  : num [1:167184] -0.861 -0.293 10.617 6.522 -6.706 ...
##   .. ..$ 0.975quant: num [1:167184] 15.36 15.93 31.54 30.1 9.56 ...
##   .. ..$ mode      : num [1:167184] -0.861 -0.293 10.616 6.521 -6.706 ...
##   .. ..$ kld       : num [1:167184] 1.85e-11 1.17e-11 4.11e-11 7.25e-11 1.68e-11 ...
##  $ marginals.random           :List of 1
##   ..$ field:List of 167184
##   .. ..$ index.1     : num [1:43, 1:2] -36.2 -31.7 -26.5 -20.1 -17.1 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.2     : num [1:43, 1:2] -35.6 -31.1 -25.9 -19.6 -16.5 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.3     : num [1:43, 1:2] -34.8 -29.1 -22.3 -14.2 -10.3 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.4     : num [1:43, 1:2] -44.7 -38.1 -30.6 -21.4 -17 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.5     : num [1:43, 1:2] -42.1 -37.6 -32.4 -26 -23 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.6     : num [1:43, 1:2] -24.43 -20.87 -16.75 -11.73 -9.33 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.7     : num [1:43, 1:2] -46.7 -40.9 -34.2 -26 -22.1 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.8     : num [1:43, 1:2] -49.3 -43.1 -35.9 -27.2 -23 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.9     : num [1:43, 1:2] -30.5 -27 -22.9 -17.9 -15.5 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.10    : num [1:43, 1:2] -44.3 -39.7 -34.4 -28 -24.9 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.11    : num [1:43, 1:2] -45.1 -40 -34.2 -27.1 -23.6 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.12    : num [1:43, 1:2] -29.2 -25.4 -21 -15.6 -13.1 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.13    : num [1:43, 1:2] -30.6 -26.2 -21.1 -14.8 -11.9 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.14    : num [1:43, 1:2] -36.8 -32.3 -27.1 -20.7 -17.7 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.15    : num [1:43, 1:2] -40.6 -36.4 -31.6 -25.7 -22.9 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.16    : num [1:43, 1:2] -32.1 -28.7 -24.7 -19.9 -17.6 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.17    : num [1:43, 1:2] -49.3 -43.8 -37.5 -29.8 -26.1 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.18    : num [1:43, 1:2] -52.2 -46 -38.8 -30.1 -25.9 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.19    : num [1:43, 1:2] -48.9 -43.5 -37.3 -29.7 -26.1 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.20    : num [1:43, 1:2] -46.3 -40.9 -34.6 -27 -23.4 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.21    : num [1:43, 1:2] -28.3 -25.4 -22 -17.8 -15.9 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.22    : num [1:43, 1:2] -33.2 -29.3 -24.8 -19.3 -16.7 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.23    : num [1:43, 1:2] -26.2 -22.9 -19 -14.2 -11.9 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.24    : num [1:43, 1:2] -27.2 -24 -20.3 -15.7 -13.6 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.25    : num [1:43, 1:2] -25.1 -22.1 -18.6 -14.3 -12.2 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.26    : num [1:43, 1:2] -37.1 -31.7 -25.4 -17.7 -14.1 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.27    : num [1:43, 1:2] -16.31 -13.01 -9.19 -4.54 -2.31 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.28    : num [1:43, 1:2] -41.8 -37 -31.5 -24.7 -21.5 ...
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##   .. .. .. ..$ : NULL
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##   .. .. [list output truncated]
##  $ size.random                :List of 1
##   ..$ :List of 5
##   .. ..$ n     : num 41796
##   .. ..$ N     : num 41796
##   .. ..$ Ntotal: num 167184
##   .. ..$ ngroup: num 1
##   .. ..$ nrep  : num 4
##  $ summary.linear.predictor   :'data.frame': 193028 obs. of  7 variables:
##   ..$ mean      : num [1:193028] 93 93.4 94 14.6 18.8 ...
##   ..$ sd        : num [1:193028] 5.77 5.62 6.57 5 6.03 ...
##   ..$ 0.025quant: num [1:193028] 81.69 82.34 81.13 4.74 6.98 ...
##   ..$ 0.5quant  : num [1:193028] 93 93.4 94 14.6 18.8 ...
##   ..$ 0.975quant: num [1:193028] 104.3 104.4 106.9 24.4 30.6 ...
##   ..$ mode      : num [1:193028] 93 93.4 94 14.6 18.8 ...
##   ..$ kld       : num [1:193028] 5.20e-11 5.32e-11 5.25e-11 4.78e-11 4.26e-11 ...
##  $ marginals.linear.predictor : NULL
##  $ summary.fitted.values      :'data.frame': 193028 obs. of  6 variables:
##   ..$ mean      : num [1:193028] 93 93.4 94 14.6 18.8 ...
##   ..$ sd        : num [1:193028] 5.77 5.62 6.57 5 6.03 ...
##   ..$ 0.025quant: num [1:193028] 81.69 82.34 81.13 4.74 6.98 ...
##   ..$ 0.5quant  : num [1:193028] 93 93.4 94 14.6 18.8 ...
##   ..$ 0.975quant: num [1:193028] 104.3 104.4 106.9 24.4 30.6 ...
##   ..$ mode      : num [1:193028] 93 93.4 94 14.6 18.8 ...
##  $ marginals.fitted.values    : NULL
##  $ size.linear.predictor      :List of 5
##   ..$ n     : num 167186
##   ..$ N     : num 167186
##   ..$ Ntotal: num 193028
##   ..$ ngroup: num 1
##   ..$ nrep  : num 2
##  $ summary.hyperpar           :'data.frame': 6 obs. of  6 variables:
##   ..$ mean      : num [1:6] 0.00885 2.53413 -1.27989 0.01777 -0.00226 ...
##   ..$ sd        : num [1:6] 0.000094 0.012585 0.038465 0.009789 0.012918 ...
##   ..$ 0.025quant: num [1:6] 0.00867 2.50967 -1.35433 -0.00078 -0.02832 ...
##   ..$ 0.5quant  : num [1:6] 0.00885 2.53402 -1.28032 0.01754 -0.00204 ...
##   ..$ 0.975quant: num [1:6] 0.00904 2.55922 -1.20288 0.03774 0.02254 ...
##   ..$ mode      : num [1:6] 0.00886 2.53357 -1.28218 0.01649 -0.00112 ...
##  $ marginals.hyperpar         :List of 6
##   ..$ Precision for the Gaussian observations: num [1:43, 1:2] 0.00845 0.0085 0.00856 0.00863 0.00867 ...
##   .. ..- attr(*, "hyperid")= chr "65001|INLA.Data1"
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta1 for field                       : num [1:43, 1:2] 2.48 2.49 2.5 2.51 2.51 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta2 for field                       : num [1:43, 1:2] -1.44 -1.42 -1.4 -1.37 -1.35 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta3 for field                       : num [1:43, 1:2] -0.02159 -0.01668 -0.01103 -0.00412 -0.00078 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta4 for field                       : num [1:43, 1:2] -0.0598 -0.0523 -0.0437 -0.0333 -0.0283 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta5 for field                       : num [1:43, 1:2] -2.41 -2.39 -2.36 -2.33 -2.32 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##  $ internal.summary.hyperpar  :'data.frame': 6 obs. of  6 variables:
##   ..$ mean      : num [1:6] -4.72704 2.53415 -1.27981 0.01781 -0.00229 ...
##   ..$ sd        : num [1:6] 0.01062 0.01259 0.03846 0.00979 0.01292 ...
##   ..$ 0.025quant: num [1:6] -4.74827 2.50967 -1.35433 -0.00078 -0.02832 ...
##   ..$ 0.5quant  : num [1:6] -4.7269 2.53402 -1.28032 0.01754 -0.00204 ...
##   ..$ 0.975quant: num [1:6] -4.7064 2.5592 -1.2029 0.0377 0.0225 ...
##   ..$ mode      : num [1:6] -4.72646 2.5336 -1.28205 0.01656 -0.00119 ...
##  $ internal.marginals.hyperpar:List of 6
##   ..$ Log precision for the Gaussian observations: num [1:43, 1:2] -4.77 -4.77 -4.76 -4.75 -4.75 ...
##   .. ..- attr(*, "hyperid")= chr "65001|INLA.Data1"
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta1 for field                           : num [1:43, 1:2] 2.48 2.49 2.5 2.51 2.51 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta2 for field                           : num [1:43, 1:2] -1.44 -1.42 -1.4 -1.37 -1.35 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta3 for field                           : num [1:43, 1:2] -0.02159 -0.01668 -0.01103 -0.00412 -0.00078 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta4 for field                           : num [1:43, 1:2] -0.0598 -0.0523 -0.0437 -0.0333 -0.0283 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta5 for field                           : num [1:43, 1:2] -2.41 -2.39 -2.36 -2.33 -2.32 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##  $ offset.linear.predictor    : num [1:193028] 0 0 0 0 0 0 0 0 0 0 ...
##  $ model.spde2.blc            : NULL
##  $ summary.spde2.blc          : list()
##  $ marginals.spde2.blc        : NULL
##  $ size.spde2.blc             : NULL
##  $ model.spde3.blc            : NULL
##  $ summary.spde3.blc          : list()
##  $ marginals.spde3.blc        : NULL
##  $ size.spde3.blc             : NULL
##  $ logfile                    : chr [1:929] "[PANUA] PARDISO License is expired." "[PANUA] Please obtain a new PARDISO license at https://www.panua.ch/products/pardiso" "        Read ntt 24 1 with max.threads 24" "        Found num.threads = 24:1 max_threads = 24" ...
##  $ misc                       :List of 22
##   ..$ cov.intern                        : num [1:6, 1:6] 1.14e-04 3.01e-05 -6.78e-05 -5.86e-07 -9.78e-07 ...
##   ..$ cor.intern                        : num [1:6, 1:6] 1 0.22391 -0.1651 -0.00564 -0.00712 ...
##   ..$ cov.intern.eigenvalues            : num [1:6] 7.89e-05 9.08e-05 1.59e-04 1.74e-04 1.36e-03 ...
##   ..$ cov.intern.eigenvectors           : num [1:6, 1:6] 0.7719 -0.6034 0.1191 -0.127 0.0968 ...
##   ..$ reordering                        : int [1:167186] 135602 135610 139133 139104 137260 137258 137034 136990 137504 128335 ...
##   ..$ theta.tags                        : chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   ..$ log.posterior.mode                : num -104363
##   ..$ stdev.corr.negative               : num [1:6] 1.11 1.11 1.02 1.07 1.01 ...
##   ..$ stdev.corr.positive               : num [1:6] 0.903 0.899 0.98 0.936 0.994 ...
##   ..$ to.theta                          :List of 6
##   .. ..$ Log precision for the Gaussian observations:function (x)  
##   .. ..$ Theta1 for field                           :function (x)  
##   .. ..$ Theta2 for field                           :function (x)  
##   .. ..$ Theta3 for field                           :function (x)  
##   .. ..$ Theta4 for field                           :function (x)  
##   .. ..$ Theta5 for field                           :function (x)  
##   ..$ from.theta                        :List of 6
##   .. ..$ Log precision for the Gaussian observations:function (x)  
##   .. ..$ Theta1 for field                           :function (x)  
##   .. ..$ Theta2 for field                           :function (x)  
##   .. ..$ Theta3 for field                           :function (x)  
##   .. ..$ Theta4 for field                           :function (x)  
##   .. ..$ Theta5 for field                           :function (x)  
##   ..$ mode.status                       : num 0
##   ..$ lincomb.derived.correlation.matrix: NULL
##   ..$ lincomb.derived.covariance.matrix : NULL
##   ..$ opt.directions                    : num [1:6, 1:6] 0.303 0.409 0.422 0.189 -0.177 ...
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : chr [1:6] "theta:1" "theta:2" "theta:3" "theta:4" ...
##   .. .. ..$ : chr [1:6] "dir:1" "dir:2" "dir:3" "dir:4" ...
##   ..$ configs                           :List of 17
##   .. ..$ .preopt          : logi TRUE
##   .. ..$ lite             : logi FALSE
##   .. ..$ mpred            : int 25842
##   .. ..$ npred            : int 167186
##   .. ..$ mnpred           : int 193028
##   .. ..$ Npred            : int 25842
##   .. ..$ n                : int 167186
##   .. ..$ nz               : int 994610
##   .. ..$ prior_nz         : int 746638
##   .. ..$ ntheta           : int 6
##   .. ..$ nconfig          : int 45
##   .. ..$ offsets          : num [1:193028] 0 0 0 0 0 0 0 0 0 0 ...
##   .. ..$ contents         :List of 3
##   .. .. ..$ tag   : chr [1:5] "APredictor" "Predictor" "field" "Intercept" ...
##   .. .. ..$ start : int [1:5] 1 25843 193029 360213 360214
##   .. .. ..$ length: int [1:5] 25842 167186 167184 1 1
##   .. ..$ A                :Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. ..@ i       : int [1:167186] 2 3 4 5 6 7 8 9 10 11 ...
##   .. .. .. ..@ j       : int [1:167186] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. ..$ : NULL
##   .. .. .. .. ..$ : NULL
##   .. .. .. ..@ x       : num [1:167186] 1 1 1 1 1 1 1 1 1 1 ...
##   .. .. .. ..@ factors : list()
##   .. ..$ pA               :Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. ..@ i       : int [1:206658] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. ..@ j       : int [1:206658] 0 0 0 0 0 0 0 0 0 0 ...
##   .. .. .. ..@ Dim     : int [1:2] 25842 167186
##   .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. ..$ : NULL
##   .. .. .. .. ..$ : NULL
##   .. .. .. ..@ x       : num [1:206658] 1 1 1 1 1 1 1 1 1 1 ...
##   .. .. .. ..@ factors : list()
##   .. ..$ config           :List of 45
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.72 2.52 -1.36 1.60e-02 -4.02e-05 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.82
##   .. .. .. ..$ log.posterior.orig: num -0.623
##   .. .. .. ..$ mean              : num [1:167186] -0.763 -0.247 10.274 6.084 -6.643 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.763 -0.247 10.274 6.084 -6.643 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0575 0 0.0308 0.0159 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 67 21.8 66.9 112.2 14.1 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0575 0 0.0308 0.0134 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06058 -0.01421 0.05134 -0.00034 -0.02395 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93 93.3 94 14.5 18.8 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.727 6.605 -0.763 -0.247 10.274 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.70649 2.51025 -1.36237 0.01328 0.00205 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -7.84
##   .. .. .. ..$ log.posterior.orig: num -4.05
##   .. .. .. ..$ mean              : num [1:167186] -0.78 -0.255 10.209 6.087 -6.579 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.78 -0.255 10.209 6.087 -6.579 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0593 0 0.0318 0.0166 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 65.4 21.5 65.3 107.4 13.7 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0593 0 0.0318 0.0141 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.062444 -0.013891 0.051785 -0.000628 -0.024224 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.9 93.3 94 14.6 18.8 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.716 6.611 -0.78 -0.255 10.209 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.74363 2.53928 -1.3681 0.01939 -0.00261 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -8.33
##   .. .. .. ..$ log.posterior.orig: num -4.54
##   .. .. .. ..$ mean              : num [1:167186] -0.764 -0.248 10.423 6.189 -6.703 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.764 -0.248 10.423 6.189 -6.703 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.056 0 0.03 0.0151 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 68.8 22.5 68.7 117.9 14.9 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.056 0 0.03 0.0127 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.058427 -0.014495 0.050891 -0.000148 -0.023652 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93.1 93.4 93.9 14.5 18.8 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.738 6.594 -0.764 -0.248 10.423 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.72618 2.52491 -1.36511 -0.00621 0.00518 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -8.5
##   .. .. .. ..$ log.posterior.orig: num -4.71
##   .. .. .. ..$ mean              : num [1:167186] -0.814 -0.267 9.819 5.856 -6.478 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.814 -0.267 9.819 5.856 -6.478 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0558 0 0.0298 0.0176 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 69.8 23.1 69.7 100.6 12.9 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0558 0 0.0298 0.0152 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.064652 -0.012155 0.045885 -0.000644 -0.022578 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.5 93.1 94.6 14.6 18.6 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.699 6.596 -0.814 -0.267 9.819 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.71943 2.52127 -1.36473 0.0435 -0.00649 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -9.03
##   .. .. .. ..$ log.posterior.orig: num -5.24
##   .. .. .. ..$ mean              : num [1:167186] -0.756 -0.248 11.103 6.703 -6.832 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.756 -0.248 11.103 6.703 -6.832 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0607 0 0.0325 0.0141 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 64.1 21.2 64 128.3 16.6 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0607 0 0.0325 0.0117 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.055463 -0.016705 0.058499 -0.000259 -0.025701 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93.6 93.6 93.2 14.5 19 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.738 6.618 -0.756 -0.248 11.103 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.7425 2.5003 -1.3626 0.0201 0.0134 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -9.21
##   .. .. .. ..$ log.posterior.orig: num -5.42
##   .. .. .. ..$ mean              : num [1:167186] -0.825 -0.277 10.523 6.423 -6.504 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.825 -0.277 10.523 6.423 -6.504 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0618 0 0.033 0.0165 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 64.3 21.7 64.2 108.9 14.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0618 0 0.033 0.0141 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06073 -0.01231 0.05286 -0.00154 -0.02383 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.8 93.1 93.7 14.7 18.8 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.667 6.685 -0.825 -0.277 10.523 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.703 2.5472 -1.3674 0.0118 -0.0141 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -9.43
##   .. .. .. ..$ log.posterior.orig: num -5.64
##   .. .. .. ..$ mean              : num [1:167186] -0.825 -0.274 10.6 6.414 -6.822 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.825 -0.274 10.6 6.414 -6.822 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0554 0 0.0296 0.0156 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 71 23.7 70.9 115.7 15.1 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0554 0 0.0296 0.0131 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06072 -0.01588 0.0501 0.00045 -0.02418 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93.1 93.5 94.3 14.4 18.8 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.787 6.511 -0.825 -0.274 10.6 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.716 2.5355 -1.3662 0.0228 0.0292 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -10.7
##   .. .. .. ..$ log.posterior.orig: num -6.95
##   .. .. .. ..$ mean              : num [1:167186] -0.919 -0.319 11.055 7.013 -6.789 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.919 -0.319 11.055 7.013 -6.789 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.059 0 0.0313 0.0158 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 69.4 24.3 69.5 116.4 16.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.059 0 0.0313 0.0134 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.059752 -0.015227 0.05176 -0.000465 -0.024329 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93.1 93.4 94 14.5 18.8 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.751 6.556 -0.919 -0.319 11.055 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.73135 2.50938 -1.36353 0.00826 -0.03343 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -11
##   .. .. .. ..$ log.posterior.orig: num -7.25
##   .. .. .. ..$ mean              : num [1:167186] -0.896 -0.31 10.777 6.686 -6.534 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.896 -0.31 10.777 6.686 -6.534 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0616 0 0.0327 0.0169 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 66.2 23 66.3 107 14.8 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0616 0 0.0327 0.0145 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06219 -0.01225 0.05181 -0.00148 -0.02382 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.7 93.1 93.9 14.7 18.8 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.694 6.641 -0.896 -0.31 10.777 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.72637 2.53352 -1.28239 0.01638 -0.00102 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -3.79
##   .. .. .. ..$ log.posterior.orig: num 0
##   .. .. .. ..$ mean              : num [1:167186] -1.014 -0.364 10.935 7.122 -6.725 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.014 -0.364 10.935 7.122 -6.725 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0604 0 0.0319 0.0162 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 70.1 25.4 70.2 115.2 17.4 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0604 0 0.0319 0.0138 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.05924 -0.01513 0.0503 -0.00113 -0.02408 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93.1 93.4 94.1 14.6 18.8 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.81 6.439 -1.014 -0.364 10.935 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.719915 2.512917 -1.448507 0.015663 0.000948 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.96
##   .. .. .. ..$ log.posterior.orig: num -3.17
##   .. .. .. ..$ mean              : num [1:167186] -0.564 -0.164 9.666 5.159 -6.52 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.564 -0.164 9.666 5.159 -6.52 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0552 0 0.0301 0.0156 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 63.7 18.6 63.4 108.5 11.3 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0552 0 0.0301 0.0132 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06212 -0.01311 0.05257 0.00036 -0.02384 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.8 93.2 93.9 14.4 18.8 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.641 6.773 -0.564 -0.164 9.666 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.72005 2.51364 -1.42003 0.01526 -0.00047 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -4.01
##   .. .. .. ..$ log.posterior.orig: num -0.221
##   .. .. .. ..$ mean              : num [1:167186] -0.727 -0.229 10.461 6.021 -6.786 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.727 -0.229 10.461 6.021 -6.786 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0552 0 0.0297 0.0155 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 68 21.5 67.9 112.9 13.4 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0552 0 0.0297 0.013 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 6.14e-02 -1.38e-02 5.18e-02 -1.53e-05 -2.39e-02 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.9 93.3 94 14.5 18.8 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.695 6.667 -0.727 -0.229 10.461 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.727145 2.53563 -1.2944 0.016992 0.000511 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.68
##   .. .. .. ..$ log.posterior.orig: num -1.89
##   .. .. .. ..$ mean              : num [1:167186] -0.814 -0.275 9.992 6.153 -6.415 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.814 -0.275 9.992 6.153 -6.415 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0614 0 0.0327 0.0166 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 65 22.1 65 110.4 15.2 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0614 0 0.0327 0.0141 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.059689 -0.01463 0.050918 -0.000883 -0.024047 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93 93.4 94 14.6 18.8 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.766 6.524 -0.814 -0.275 9.992 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.728 2.5423 -1.3041 0.0242 -0.0233 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -8.54
##   .. .. .. ..$ log.posterior.orig: num -4.75
##   .. .. .. ..$ mean              : num [1:167186] -0.963 -0.344 11.183 7.237 -6.72 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.963 -0.344 11.183 7.237 -6.72 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0617 0 0.0326 0.0155 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 68.3 24.6 68.4 120.8 18 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0617 0 0.0326 0.0131 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.057339 -0.015823 0.05315 -0.000904 -0.024693 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93.3 93.5 93.8 14.6 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.802 6.481 -0.963 -0.344 11.183 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.7252 2.5333 -1.3554 0.0235 -0.0237 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -7.61
##   .. .. .. ..$ log.posterior.orig: num -3.82
##   .. .. .. ..$ mean              : num [1:167186] -0.926 -0.323 11.385 7.19 -6.872 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.926 -0.323 11.385 7.19 -6.872 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0592 0 0.0314 0.0151 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 69.5 24.4 69.6 121.5 17.2 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0592 0 0.0314 0.0127 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.058084 -0.015448 0.053416 -0.000572 -0.024615 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93.2 93.5 93.8 14.5 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.773 6.539 -0.926 -0.323 11.385 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.71914 2.54454 -1.37299 0.0299 0.00313 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -8.47
##   .. .. .. ..$ log.posterior.orig: num -4.68
##   .. .. .. ..$ mean              : num [1:167186] -0.696 -0.221 10.331 6.041 -6.712 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.696 -0.221 10.331 6.041 -6.712 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.057 0 0.0307 0.0146 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 66.3 21.1 66.1 121.9 15 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.057 0 0.0307 0.0122 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.057406 -0.016378 0.053791 0.000451 -0.024715 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93.3 93.6 93.8 14.4 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.755 6.589 -0.696 -0.221 10.331 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.71624 2.53556 -1.42427 0.02919 0.00273 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -7.88
##   .. .. .. ..$ log.posterior.orig: num -4.09
##   .. .. .. ..$ mean              : num [1:167186] -0.661 -0.204 10.522 5.972 -6.868 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.661 -0.204 10.522 5.972 -6.868 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0546 0 0.0295 0.0142 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 67.5 20.9 67.2 123 14.2 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0546 0 0.0295 0.0118 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.058105 -0.01603 0.054122 0.000816 -0.02465 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93.3 93.5 93.7 14.4 18.8 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.726 6.648 -0.661 -0.204 10.522 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.7415 2.5147 -1.3699 0.0274 -0.0112 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -8.51
##   .. .. .. ..$ log.posterior.orig: num -4.72
##   .. .. .. ..$ mean              : num [1:167186] -0.716 -0.231 10.358 6.092 -6.503 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.716 -0.231 10.358 6.092 -6.503 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0611 0 0.0328 0.0155 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 62.7 20.3 62.6 115.2 14.4 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0611 0 0.0328 0.0131 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.058491 -0.01365 0.054932 -0.000858 -0.024355 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93.1 93.3 93.5 14.6 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.684 6.691 -0.716 -0.231 10.358 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.7386 2.5058 -1.4212 0.0267 -0.0116 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -7.86
##   .. .. .. ..$ log.posterior.orig: num -4.07
##   .. .. .. ..$ mean              : num [1:167186] -0.684 -0.215 10.558 6.041 -6.653 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.684 -0.215 10.558 6.041 -6.653 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0585 0 0.0315 0.0151 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 63.9 20.1 63.7 116.1 13.6 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0585 0 0.0315 0.0126 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.05924 -0.013256 0.055259 -0.000529 -0.024286 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93 93.2 93.5 14.5 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.655 6.749 -0.684 -0.215 10.558 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.7379 2.5338 -1.3032 0.0336 0.0135 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -8.47
##   .. .. .. ..$ log.posterior.orig: num -4.68
##   .. .. .. ..$ mean              : num [1:167186] -0.933 -0.331 11.074 7.161 -6.676 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.933 -0.331 11.074 7.161 -6.676 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0628 0 0.0332 0.0154 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 66.5 23.7 66.6 121.8 18.1 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0628 0 0.0332 0.013 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.05634 -0.01564 0.05412 -0.00116 -0.0247 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93.3 93.5 93.6 14.6 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.774 6.52 -0.933 -0.331 11.074 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.735 2.5248 -1.3545 0.0329 0.0131 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -7.35
##   .. .. .. ..$ log.posterior.orig: num -3.56
##   .. .. .. ..$ mean              : num [1:167186] -0.892 -0.308 11.269 7.101 -6.829 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.892 -0.308 11.269 7.101 -6.829 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0602 0 0.032 0.015 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 67.6 23.5 67.6 122.8 17.2 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0602 0 0.032 0.0125 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.057008 -0.015299 0.054471 -0.000816 -0.024647 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93.3 93.5 93.6 14.6 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.745 6.578 -0.892 -0.308 11.269 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.72817 2.53538 -1.37206 0.00367 -0.01768 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -9.13
##   .. .. .. ..$ log.posterior.orig: num -5.34
##   .. .. .. ..$ mean              : num [1:167186] -0.767 -0.25 10.016 5.919 -6.494 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.767 -0.25 10.016 5.919 -6.494 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0569 0 0.0305 0.0166 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 67.9 22.2 67.8 107 13.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0569 0 0.0305 0.0142 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.062195 -0.013217 0.04885 -0.000342 -0.023284 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.7 93.2 94.3 14.5 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.715 6.61 -0.767 -0.25 10.016 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.72527 2.5264 -1.42334 0.00296 -0.01809 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -8.73
##   .. .. .. ..$ log.posterior.orig: num -4.94
##   .. .. .. ..$ mean              : num [1:167186] -0.734 -0.233 10.205 5.869 -6.641 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.734 -0.233 10.205 5.869 -6.641 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0546 0 0.0294 0.0162 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 69.1 22 69 107.8 12.8 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0546 0 0.0294 0.0137 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 6.29e-02 -1.29e-02 4.92e-02 -6.89e-06 -2.32e-02 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.7 93.2 94.2 14.5 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.686 6.669 -0.734 -0.233 10.205 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.72453 2.55444 -1.30533 0.0099 0.00709 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -7.95
##   .. .. .. ..$ log.posterior.orig: num -4.16
##   .. .. .. ..$ mean              : num [1:167186] -0.931 -0.324 10.431 6.618 -6.658 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.931 -0.324 10.431 6.618 -6.658 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0575 0 0.0305 0.0164 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 71.5 25.1 71.5 113.1 16.3 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0575 0 0.0305 0.0139 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.0601 -0.0152 0.0478 -0.0004 -0.0235 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93 93.4 94.4 14.5 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.808 6.44 -0.931 -0.324 10.431 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.72163 2.54546 -1.35661 0.00919 0.00669 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -7.13
##   .. .. .. ..$ log.posterior.orig: num -3.34
##   .. .. .. ..$ mean              : num [1:167186] -0.889 -0.301 10.616 6.559 -6.809 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.889 -0.301 10.616 6.559 -6.809 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0551 0 0.0293 0.0159 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 72.7 24.8 72.7 114 15.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0551 0 0.0293 0.0134 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 6.07e-02 -1.49e-02 4.81e-02 -3.95e-05 -2.35e-02 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93 93.4 94.4 14.5 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.779 6.499 -0.889 -0.301 10.616 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.74693 2.52464 -1.30225 0.00737 -0.00726 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -7.06
##   .. .. .. ..$ log.posterior.orig: num -3.27
##   .. .. .. ..$ mean              : num [1:167186] -0.913 -0.318 10.279 6.469 -6.433 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.913 -0.318 10.279 6.469 -6.433 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.061 0 0.0323 0.0172 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 67.4 23.6 67.4 106.7 15.2 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.061 0 0.0323 0.0148 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06098 -0.01268 0.04892 -0.00157 -0.0232 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.8 93.2 94.1 14.7 18.8 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.735 6.548 -0.913 -0.318 10.279 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.74404 2.51566 -1.35353 0.00666 -0.00766 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.18
##   .. .. .. ..$ log.posterior.orig: num -2.39
##   .. .. .. ..$ mean              : num [1:167186] -0.876 -0.298 10.47 6.427 -6.579 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.876 -0.298 10.47 6.427 -6.579 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0585 0 0.0311 0.0167 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 68.6 23.4 68.6 107.6 14.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0585 0 0.0311 0.0143 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06166 -0.01234 0.04925 -0.00124 -0.02314 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.7 93.1 94.1 14.6 18.8 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.707 6.606 -0.876 -0.298 10.47 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.738 2.5269 -1.3711 0.013 0.0191 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -9.85
##   .. .. .. ..$ log.posterior.orig: num -6.06
##   .. .. .. ..$ mean              : num [1:167186] -0.791 -0.262 10.14 6.114 -6.464 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.791 -0.262 10.14 6.114 -6.464 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0589 0 0.0315 0.0166 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 66.5 22.1 66.4 107.7 14.1 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0589 0 0.0315 0.0142 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06131 -0.0129 0.04994 -0.00081 -0.02335 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.8 93.2 94.1 14.6 18.8 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.69 6.645 -0.791 -0.262 10.14 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.7351 2.5179 -1.4224 0.0123 0.0187 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -9.16
##   .. .. .. ..$ log.posterior.orig: num -5.37
##   .. .. .. ..$ mean              : num [1:167186] -0.754 -0.242 10.325 6.052 -6.611 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.754 -0.242 10.325 6.052 -6.611 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0564 0 0.0303 0.0162 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 67.7 21.8 67.5 108.7 13.3 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0564 0 0.0303 0.0138 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.061952 -0.01257 0.050362 -0.000466 -0.023307 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.7 93.2 94 14.5 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.661 6.704 -0.754 -0.242 10.325 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.7103 2.522 -1.3696 0.0215 -0.0206 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -9.98
##   .. .. .. ..$ log.posterior.orig: num -6.19
##   .. .. .. ..$ mean              : num [1:167186] -0.762 -0.25 10.514 6.281 -6.601 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.762 -0.25 10.514 6.281 -6.601 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0604 0 0.0323 0.0158 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 64.4 21.3 64.3 113.9 14.6 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0604 0 0.0323 0.0133 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.060121 -0.014801 0.054383 -0.000405 -0.024809 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93.1 93.4 93.7 14.5 18.8 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.725 6.625 -0.762 -0.25 10.514 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.7074 2.5131 -1.4208 0.0208 -0.021 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -9.61
##   .. .. .. ..$ log.posterior.orig: num -5.82
##   .. .. .. ..$ mean              : num [1:167186] -0.729 -0.233 10.712 6.228 -6.752 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.729 -0.233 10.712 6.228 -6.752 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0579 0 0.0311 0.0154 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 65.6 21.1 65.4 114.7 13.9 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0579 0 0.0311 0.0129 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 6.09e-02 -1.44e-02 5.47e-02 -6.55e-05 -2.47e-02 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93 93.3 93.7 14.5 18.8 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.695 6.684 -0.729 -0.233 10.712 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.70661 2.5411 -1.30283 0.0277 0.00422 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -7.56
##   .. .. .. ..$ log.posterior.orig: num -3.77
##   .. .. .. ..$ mean              : num [1:167186] -0.895 -0.31 10.815 6.867 -6.752 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.895 -0.31 10.815 6.867 -6.752 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0606 0 0.0321 0.0154 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 67.6 23.6 67.6 120.4 17.3 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0606 0 0.0321 0.013 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.057827 -0.016981 0.053312 -0.000371 -0.025075 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93.4 93.6 93.9 14.5 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.817 6.458 -0.895 -0.31 10.815 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.70372 2.53213 -1.35412 0.02699 0.00382 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.71
##   .. .. .. ..$ log.posterior.orig: num -2.92
##   .. .. .. ..$ mean              : num [1:167186] -0.854 -0.288 11.007 6.805 -6.907 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.854 -0.288 11.007 6.805 -6.907 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.058 0 0.0309 0.015 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 68.8 23.4 68.8 121.4 16.4 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.058 0 0.0309 0.0125 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 5.85e-02 -1.66e-02 5.36e-02 -3.22e-06 -2.50e-02 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93.3 93.6 93.9 14.5 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.788 6.517 -0.854 -0.288 11.007 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.729 2.5113 -1.2998 0.0252 -0.0101 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -8.22
##   .. .. .. ..$ log.posterior.orig: num -4.43
##   .. .. .. ..$ mean              : num [1:167186] -0.906 -0.318 10.792 6.859 -6.537 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.906 -0.318 10.792 6.859 -6.537 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0647 0 0.0343 0.0163 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 63.9 22.6 63.9 113.7 16.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0647 0 0.0343 0.0139 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.05888 -0.01427 0.05442 -0.00163 -0.0247 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93.1 93.3 93.6 14.7 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.744 6.563 -0.906 -0.318 10.792 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.7261 2.5023 -1.351 0.0245 -0.0105 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -7.37
##   .. .. .. ..$ log.posterior.orig: num -3.58
##   .. .. .. ..$ mean              : num [1:167186] -0.87 -0.298 10.992 6.815 -6.687 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.87 -0.298 10.992 6.815 -6.687 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0621 0 0.033 0.0159 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 65 22.4 65 114.5 15.7 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0621 0 0.033 0.0134 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.0596 -0.0139 0.0547 -0.0013 -0.0246 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93.1 93.3 93.6 14.6 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.716 6.62 -0.87 -0.298 10.992 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.7201 2.5135 -1.3687 0.0308 0.0163 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -10.4
##   .. .. .. ..$ log.posterior.orig: num -6.61
##   .. .. .. ..$ mean              : num [1:167186] -0.76 -0.25 10.52 6.34 -6.56 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.76 -0.25 10.52 6.34 -6.56 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.062 0 0.0332 0.0157 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 62.9 20.8 62.8 114.7 14.9 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.062 0 0.0332 0.0133 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.059184 -0.014538 0.055391 -0.000773 -0.02483 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93.1 93.4 93.6 14.6 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.7 6.66 -0.76 -0.25 10.52 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.7172 2.5046 -1.4199 0.0301 0.0159 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -9.8
##   .. .. .. ..$ log.posterior.orig: num -6.01
##   .. .. .. ..$ mean              : num [1:167186] -0.724 -0.232 10.711 6.276 -6.713 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.724 -0.232 10.711 6.276 -6.713 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0594 0 0.0319 0.0153 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 64 20.6 63.8 115.7 14.1 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0594 0 0.0319 0.0128 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.059876 -0.014176 0.055791 -0.000422 -0.024774 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 93.1 93.3 93.5 14.5 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.668 6.721 -0.724 -0.232 10.711 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.71564 2.53194 -1.3019 0.00146 -0.01659 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -9.04
##   .. .. .. ..$ log.posterior.orig: num -5.25
##   .. .. .. ..$ mean              : num [1:167186] -0.969 -0.343 10.425 6.656 -6.527 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.969 -0.343 10.425 6.656 -6.527 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0603 0 0.0319 0.0175 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 69.1 24.7 69.2 105.5 15.4 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0603 0 0.0319 0.0151 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06274 -0.01376 0.04819 -0.00114 -0.02359 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.8 93.3 94.4 14.6 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.774 6.481 -0.969 -0.343 10.425 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.712744 2.522961 -1.353186 0.000756 -0.016986 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -8.45
##   .. .. .. ..$ log.posterior.orig: num -4.66
##   .. .. .. ..$ mean              : num [1:167186] -0.931 -0.321 10.615 6.613 -6.673 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.931 -0.321 10.615 6.613 -6.673 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0579 0 0.0307 0.0171 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 70.4 24.5 70.4 106.2 14.7 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0579 0 0.0307 0.0146 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.063443 -0.013408 0.048509 -0.000802 -0.023524 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.7 93.2 94.4 14.6 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.745 6.54 -0.931 -0.321 10.615 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.70673 2.53417 -1.3708 0.00711 0.00979 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -9.45
##   .. .. .. ..$ log.posterior.orig: num -5.66
##   .. .. .. ..$ mean              : num [1:167186] -0.756 -0.244 9.907 5.853 -6.537 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.756 -0.244 9.907 5.853 -6.537 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0568 0 0.0305 0.0167 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 67.6 22 67.5 106.4 13.4 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0568 0 0.0305 0.0142 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 6.29e-02 -1.42e-02 4.90e-02 -3.97e-07 -2.37e-02 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.8 93.3 94.4 14.5 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.729 6.584 -0.756 -0.244 9.907 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.70384 2.5252 -1.42209 0.00641 0.00939 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -9.07
##   .. .. .. ..$ log.posterior.orig: num -5.28
##   .. .. .. ..$ mean              : num [1:167186] -0.719 -0.226 10.088 5.789 -6.686 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.719 -0.226 10.088 5.789 -6.686 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0544 0 0.0293 0.0162 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 68.8 21.7 68.6 107.4 12.7 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0544 0 0.0293 0.0137 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.063543 -0.013883 0.049404 0.000364 -0.023617 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.8 93.3 94.3 14.4 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.701 6.644 -0.719 -0.226 10.088 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.72913 2.50437 -1.36772 0.00458 -0.00456 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -8.28
##   .. .. .. ..$ log.posterior.orig: num -4.49
##   .. .. .. ..$ mean              : num [1:167186] -0.718 -0.229 9.651 5.596 -6.307 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.718 -0.229 9.651 5.596 -6.307 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0598 0 0.0321 0.0175 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 63.5 20.4 63.4 100.5 12.3 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0598 0 0.0321 0.015 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06374 -0.01164 0.05019 -0.00111 -0.02333 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.6 93 94.1 14.6 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.658 6.692 -0.718 -0.229 9.651 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.72624 2.4954 -1.41901 0.00388 -0.00496 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -7.97
##   .. .. .. ..$ log.posterior.orig: num -4.18
##   .. .. .. ..$ mean              : num [1:167186] -0.686 -0.213 9.838 5.549 -6.452 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -0.686 -0.213 9.838 5.549 -6.452 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0573 0 0.0309 0.017 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 64.7 20.2 64.5 101.4 11.7 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0573 0 0.0309 0.0146 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.064449 -0.011272 0.050563 -0.000778 -0.023269 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.5 93 94.1 14.6 18.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.629 6.75 -0.686 -0.213 9.838 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.7255 2.5234 -1.301 0.0108 0.0202 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:6] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -10.3
##   .. .. .. ..$ log.posterior.orig: num -6.49
##   .. .. .. ..$ mean              : num [1:167186] -1.007 -0.363 10.609 6.924 -6.499 ...
##   .. .. .. ..$ improved.mean     : num [1:167186] -1.007 -0.363 10.609 6.924 -6.499 ...
##   .. .. .. ..$ skewness          : logi [1:167186] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 0.0626 0 0.0331 0.0176 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:994610] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:994610] 67.8 24.6 67.9 106.2 16.1 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:746638] 0 0 1 2 2 3 4 4 5 6 ...
##   .. .. .. .. .. ..@ p       : int [1:167187] 0 1 3 4 6 7 9 10 12 15 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 167186 167186
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:746638] 0.0626 0 0.0331 0.0152 0 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.06184 -0.01342 0.04938 -0.00165 -0.02369 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 92.8 93.2 94.2 14.7 18.8 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:167186, 1:2] 29.748 6.516 -1.007 -0.363 10.609 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:6] -4.7226 2.5145 -1.3523 0.0101 0.0198 ...
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##   ..$ nfunc                             : num 789
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##   ..$ mode.status       : num 0
##   ..$ log.posterior.mode: num -104363
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##   ..$ Theta1 for field                            : num [1:43] 2.53 2.52 2.55 2.54 2.53 ...
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##   ..$ Theta4 for field                            : num [1:43] -0.00102 0.00107 -0.00358 0.0042 -0.00747 ...
##   ..$ Theta5 for field                            : num [1:43] -2.25 -2.25 -2.25 -2.25 -2.25 ...
##   ..$ Log posterior density                       : num [1:43] -104387 -104390 -104391 -104391 -104391 ...
##   ..$ Total integration weight (log.dens included): num [1:43] 0.04908 0.00653 0.004 0.00336 0.00198 ...
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##   ..$ formula          :Class 'formula'  language BRU.response ~ f(Intercept, model = BRU_Intercept_main_model, ngroup = 1,      nrep = 1, values = BRU_Intercept_v| __truncated__ ...
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##   .. .. .. .. .. .. ..$ theta.prior.mean    : num [1:4] 3.4 -1.55 0 0
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##   .. .. .. .. .. .. ..$ rational_table  : num [1:5996] 999 6 0.001 0.412 0.005 ...
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##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
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##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta3  :List of 11
##   .. .. .. ..$ hyperid           : num 103003
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta3"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b3"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[3] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[3] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta4  :List of 11
##   .. .. .. ..$ hyperid           : num 103004
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta4"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b4"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[4] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[4] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta5  :List of 11
##   .. .. .. ..$ hyperid           : num 103005
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta5"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b5"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[5] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[5] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta6  :List of 11
##   .. .. .. ..$ hyperid           : num 103006
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta6"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b6"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[6] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[6] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta7  :List of 11
##   .. .. .. ..$ hyperid           : num 103007
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta7"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b7"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[7] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[7] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta8  :List of 11
##   .. .. .. ..$ hyperid           : num 103008
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta8"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b8"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[8] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[8] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta9  :List of 11
##   .. .. .. ..$ hyperid           : num 103009
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta9"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b9"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[9] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[9] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta10 :List of 11
##   .. .. .. ..$ hyperid           : num 103010
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta10"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b10"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[10] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[10] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta11 :List of 11
##   .. .. .. ..$ hyperid           : num 103011
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta11"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b11"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[11] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[11] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta12 :List of 11
##   .. .. .. ..$ hyperid           : num 103012
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta12"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b12"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[12] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[12] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta13 :List of 11
##   .. .. .. ..$ hyperid           : num 103013
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta13"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b13"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[13] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[13] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta14 :List of 11
##   .. .. .. ..$ hyperid           : num 103014
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta14"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b14"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[14] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[14] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta15 :List of 11
##   .. .. .. ..$ hyperid           : num 103015
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta15"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b15"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[15] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[15] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta16 :List of 11
##   .. .. .. ..$ hyperid           : num 103016
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta16"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b16"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[16] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[16] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta17 :List of 11
##   .. .. .. ..$ hyperid           : num 103017
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta17"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b17"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[17] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[17] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta18 :List of 11
##   .. .. .. ..$ hyperid           : num 103018
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta18"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b18"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[18] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[18] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta19 :List of 11
##   .. .. .. ..$ hyperid           : num 103019
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta19"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b19"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[19] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[19] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta20 :List of 11
##   .. .. .. ..$ hyperid           : num 103020
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta20"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b20"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[20] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[20] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta21 :List of 11
##   .. .. .. ..$ hyperid           : num 103021
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta21"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b21"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[21] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[21] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta22 :List of 11
##   .. .. .. ..$ hyperid           : num 103022
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta22"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b22"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[22] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[22] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta23 :List of 11
##   .. .. .. ..$ hyperid           : num 103023
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta23"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b23"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[23] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[23] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta24 :List of 11
##   .. .. .. ..$ hyperid           : num 103024
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta24"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b24"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[24] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[24] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta25 :List of 11
##   .. .. .. ..$ hyperid           : num 103025
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta25"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b25"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[25] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[25] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta26 :List of 11
##   .. .. .. ..$ hyperid           : num 103026
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta26"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b26"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[26] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[26] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta27 :List of 11
##   .. .. .. ..$ hyperid           : num 103027
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta27"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b27"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[27] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[27] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta28 :List of 11
##   .. .. .. ..$ hyperid           : num 103028
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta28"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b28"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[28] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[28] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta29 :List of 11
##   .. .. .. ..$ hyperid           : num 103029
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta29"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b29"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[29] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[29] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta30 :List of 11
##   .. .. .. ..$ hyperid           : num 103030
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta30"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b30"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[30] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[30] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta31 :List of 11
##   .. .. .. ..$ hyperid           : num 103031
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta31"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b31"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[31] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[31] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta32 :List of 11
##   .. .. .. ..$ hyperid           : num 103032
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta32"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b32"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[32] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[32] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta33 :List of 11
##   .. .. .. ..$ hyperid           : num 103033
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta33"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b33"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[33] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[33] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta34 :List of 11
##   .. .. .. ..$ hyperid           : num 103034
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta34"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b34"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[34] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[34] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta35 :List of 11
##   .. .. .. ..$ hyperid           : num 103035
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta35"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b35"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[35] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[35] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta36 :List of 11
##   .. .. .. ..$ hyperid           : num 103036
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta36"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b36"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[36] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[36] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta37 :List of 11
##   .. .. .. ..$ hyperid           : num 103037
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta37"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b37"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[37] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[37] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta38 :List of 11
##   .. .. .. ..$ hyperid           : num 103038
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta38"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b38"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[38] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[38] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta39 :List of 11
##   .. .. .. ..$ hyperid           : num 103039
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta39"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b39"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[39] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[39] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta40 :List of 11
##   .. .. .. ..$ hyperid           : num 103040
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta40"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b40"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[40] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[40] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta41 :List of 11
##   .. .. .. ..$ hyperid           : num 103041
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta41"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b41"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[41] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[41] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta42 :List of 11
##   .. .. .. ..$ hyperid           : num 103042
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta42"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b42"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[42] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[42] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta43 :List of 11
##   .. .. .. ..$ hyperid           : num 103043
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta43"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b43"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[43] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[43] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta44 :List of 11
##   .. .. .. ..$ hyperid           : num 103044
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta44"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b44"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[44] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[44] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta45 :List of 11
##   .. .. .. ..$ hyperid           : num 103045
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta45"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b45"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[45] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[45] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta46 :List of 11
##   .. .. .. ..$ hyperid           : num 103046
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta46"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b46"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[46] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[46] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta47 :List of 11
##   .. .. .. ..$ hyperid           : num 103047
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta47"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b47"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[47] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[47] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta48 :List of 11
##   .. .. .. ..$ hyperid           : num 103048
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta48"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b48"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[48] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[48] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta49 :List of 11
##   .. .. .. ..$ hyperid           : num 103049
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta49"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b49"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[49] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[49] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta50 :List of 11
##   .. .. .. ..$ hyperid           : num 103050
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta50"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b50"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[50] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[50] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta51 :List of 11
##   .. .. .. ..$ hyperid           : num 103051
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta51"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b51"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[51] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[51] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta52 :List of 11
##   .. .. .. ..$ hyperid           : num 103052
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta52"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b52"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[52] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[52] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta53 :List of 11
##   .. .. .. ..$ hyperid           : num 103053
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta53"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b53"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[53] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[53] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta54 :List of 11
##   .. .. .. ..$ hyperid           : num 103054
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta54"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b54"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[54] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[54] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta55 :List of 11
##   .. .. .. ..$ hyperid           : num 103055
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta55"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b55"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[55] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[55] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta56 :List of 11
##   .. .. .. ..$ hyperid           : num 103056
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta56"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b56"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[56] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[56] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta57 :List of 11
##   .. .. .. ..$ hyperid           : num 103057
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta57"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b57"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[57] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[57] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta58 :List of 11
##   .. .. .. ..$ hyperid           : num 103058
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta58"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b58"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[58] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[58] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta59 :List of 11
##   .. .. .. ..$ hyperid           : num 103059
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta59"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b59"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[59] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[59] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta60 :List of 11
##   .. .. .. ..$ hyperid           : num 103060
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta60"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b60"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[60] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[60] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta61 :List of 11
##   .. .. .. ..$ hyperid           : num 103061
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta61"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b61"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[61] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[61] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta62 :List of 11
##   .. .. .. ..$ hyperid           : num 103062
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta62"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b62"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[62] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[62] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta63 :List of 11
##   .. .. .. ..$ hyperid           : num 103063
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta63"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b63"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[63] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[63] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta64 :List of 11
##   .. .. .. ..$ hyperid           : num 103064
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta64"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b64"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[64] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[64] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta65 :List of 11
##   .. .. .. ..$ hyperid           : num 103065
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta65"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b65"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[65] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[65] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta66 :List of 11
##   .. .. .. ..$ hyperid           : num 103066
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta66"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b66"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[66] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[66] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta67 :List of 11
##   .. .. .. ..$ hyperid           : num 103067
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta67"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b67"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[67] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[67] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta68 :List of 11
##   .. .. .. ..$ hyperid           : num 103068
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta68"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b68"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[68] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[68] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta69 :List of 11
##   .. .. .. ..$ hyperid           : num 103069
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta69"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b69"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[69] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[69] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta70 :List of 11
##   .. .. .. ..$ hyperid           : num 103070
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta70"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b70"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[70] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[70] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta71 :List of 11
##   .. .. .. ..$ hyperid           : num 103071
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta71"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b71"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[71] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[71] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta72 :List of 11
##   .. .. .. ..$ hyperid           : num 103072
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta72"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b72"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[72] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[72] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta73 :List of 11
##   .. .. .. ..$ hyperid           : num 103073
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta73"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b73"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[73] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[73] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta74 :List of 11
##   .. .. .. ..$ hyperid           : num 103074
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta74"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b74"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[74] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[74] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta75 :List of 11
##   .. .. .. ..$ hyperid           : num 103075
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta75"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b75"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[75] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[75] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta76 :List of 11
##   .. .. .. ..$ hyperid           : num 103076
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta76"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b76"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[76] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[76] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta77 :List of 11
##   .. .. .. ..$ hyperid           : num 103077
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta77"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b77"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[77] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[77] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta78 :List of 11
##   .. .. .. ..$ hyperid           : num 103078
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta78"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b78"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[78] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[78] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta79 :List of 11
##   .. .. .. ..$ hyperid           : num 103079
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta79"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b79"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[79] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[79] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta80 :List of 11
##   .. .. .. ..$ hyperid           : num 103080
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta80"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b80"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[80] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[80] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta81 :List of 11
##   .. .. .. ..$ hyperid           : num 103081
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta81"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b81"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[81] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[81] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta82 :List of 11
##   .. .. .. ..$ hyperid           : num 103082
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta82"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b82"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[82] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[82] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta83 :List of 11
##   .. .. .. ..$ hyperid           : num 103083
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta83"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b83"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[83] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[83] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta84 :List of 11
##   .. .. .. ..$ hyperid           : num 103084
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta84"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b84"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[84] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[84] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta85 :List of 11
##   .. .. .. ..$ hyperid           : num 103085
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta85"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b85"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[85] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[85] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta86 :List of 11
##   .. .. .. ..$ hyperid           : num 103086
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta86"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b86"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[86] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[86] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta87 :List of 11
##   .. .. .. ..$ hyperid           : num 103087
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta87"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b87"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[87] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[87] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta88 :List of 11
##   .. .. .. ..$ hyperid           : num 103088
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta88"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b88"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[88] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[88] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta89 :List of 11
##   .. .. .. ..$ hyperid           : num 103089
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta89"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b89"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[89] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[89] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta90 :List of 11
##   .. .. .. ..$ hyperid           : num 103090
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta90"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b90"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[90] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[90] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta91 :List of 11
##   .. .. .. ..$ hyperid           : num 103091
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta91"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b91"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[91] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[91] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta92 :List of 11
##   .. .. .. ..$ hyperid           : num 103092
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta92"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b92"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[92] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[92] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta93 :List of 11
##   .. .. .. ..$ hyperid           : num 103093
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta93"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b93"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[93] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[93] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta94 :List of 11
##   .. .. .. ..$ hyperid           : num 103094
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta94"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b94"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[94] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[94] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta95 :List of 11
##   .. .. .. ..$ hyperid           : num 103095
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta95"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b95"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[95] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[95] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta96 :List of 11
##   .. .. .. ..$ hyperid           : num 103096
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta96"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b96"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[96] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[96] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta97 :List of 11
##   .. .. .. ..$ hyperid           : num 103097
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta97"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b97"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[97] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[97] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta98 :List of 11
##   .. .. .. ..$ hyperid           : num 103098
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta98"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b98"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[98] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[98] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta99 :List of 11
##   .. .. .. ..$ hyperid           : num 103099
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta99"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b99"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[99] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[99] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. [list output truncated]
##   .. ..- attr(*, "class")= chr [1:2] "ctrl_lp_scale" "inla_ctrl_object"
##   ..$ control.pardiso  :List of 4
##   .. ..$ verbose            : logi FALSE
##   .. ..$ debug              : logi FALSE
##   .. ..$ parallel.reordering: logi TRUE
##   .. ..$ nrhs               : num -1
##   .. ..- attr(*, "class")= chr [1:2] "ctrl_pardiso" "inla_ctrl_object"
##   ..$ only.hyperparam  : logi FALSE
##   ..$ inla.call        : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/inla.mkl.run"
##   ..$ num.threads      : chr "24:1"
##   ..$ keep             : logi FALSE
##   ..$ silent           : logi TRUE
##   ..$ inla.mode        : chr "compact"
##   ..$ safe             : logi TRUE
##   ..$ debug            : logi FALSE
##   ..$ .parent.frame    :<environment: R_GlobalEnv> 
##  $ call                       : chr [1:14] "inla.core(formula = formula, family = family, contrasts = contrasts, " "    data = data, quantiles = quantiles, E = E, offset = offset, " "    scale = scale, weights = weights, Ntrials = Ntrials, strata = strata, " "    lp.scale = lp.scale, link.covariates = link.covariates, verbose = verbose, " ...
##  $ model.matrix               :Formal class 'dsparseModelMatrix' [package "MatrixModels"] with 8 slots
##   .. ..@ i        : int(0) 
##   .. ..@ p        : int 0
##   .. ..@ Dim      : int [1:2] 167186 0
##   .. ..@ Dimnames :List of 2
##   .. .. ..$ : chr [1:167186] "1" "2" "3" "4" ...
##   .. .. ..$ : NULL
##   .. ..@ x        : num(0) 
##   .. ..@ factors  : list()
##   .. ..@ assign   : int(0) 
##   .. ..@ contrasts: Named list()
##  $ bru_iinla                  :List of 5
##   ..$ log       :Class 'bru_log'  hidden list of 2
##   .. ..$ log      : chr [1:7] "2024-05-20 11:00:56.470696: iinla: Evaluate component inputs" "2024-05-20 11:00:56.524585: iinla: Evaluate component linearisations" "2024-05-20 11:01:04.978772: iinla: Evaluate component simplifications" "2024-05-20 11:01:13.336326: iinla: Evaluate predictor linearisation" ...
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##   .. .. ..$ data :'data.frame':  25842 obs. of  6 variables:
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##   .. ..$ sd               : num [1:334379] NA NA NA NA NA NA NA NA NA NA ...
##   .. ..$ new_linearisation: num [1:334379] 0 0 0 0 0 0 0 0 0 0 ...
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##   .. .. .. ..$ env         :<environment: R_GlobalEnv> 
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##   .. .. .. ..$ fcall       : language "f"(SpeedLimit, model = BRU_SpeedLimit_main_model, ngroup = 1, nrep = 1,      values = BRU_SpeedLimit_values)
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##   .. .. .. .. .. .. .. ..$ main     : logi TRUE
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##   .. .. .. .. ..$          : Named logi [1:2] TRUE TRUE
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##   .. .. .. ..$ inla.formula:Class 'formula'  language ~. + f(field, model = BRU_field_main_model, replicate = field.repl, ngroup = 1,      nrep = 4L, values = BRU_field_values)
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##   .. .. .. .. .. .. .. .. .. .. ..$ start.theta         : num [1:4] 3.4 -1.55 0 0
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##   .. .. .. .. .. .. .. .. .. .. ..$ prior.nu.dist    : chr "lognormal"
##   .. .. .. .. .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. .. .. .. .. ..$ matrices  :List of 4
##   .. .. .. .. .. .. .. .. .. .. ..$ rational_table  : num [1:5996] 999 6 0.001 0.412 0.005 ...
##   .. .. .. .. .. .. .. .. .. .. ..$ B_tau           : num [1:69662] 13932 5 -1.15 -1 0.75 ...
##   .. .. .. .. .. .. .. .. .. .. ..$ B_kappa         : num [1:69662] 13932 5 0.896 0 -1 ...
##   .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec: num [1:18] 4 4 0.1 0 0 0 0 0.1 0 0 ...
##   .. .. .. .. .. .. .. .. .. ..$ smatrices :List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ C: num [1:41799] 13932 13932 13932 0 1 ...
##   .. .. .. .. .. .. .. .. .. .. ..$ G: num [1:132615] 13932 13932 44204 0 5681 ...
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr "inla.cgeneric"
##   .. .. .. .. .. .. ..$ cgeneric_type       : chr "general"
##   .. .. .. .. .. .. ..$ theta.prior.mean    : num [1:4] 3.4 -1.55 0 0
##   .. .. .. .. .. .. ..$ prior.nu            :List of 4
##   .. .. .. .. .. .. .. ..$ loglocation: num -0.288
##   .. .. .. .. .. .. .. ..$ mean       : num 0.75
##   .. .. .. .. .. .. .. ..$ prec       : num 3
##   .. .. .. .. .. .. .. ..$ logscale   : num 1
##   .. .. .. .. .. .. ..$ theta.prior.prec    : num [1:4, 1:4] 0.1 0 0 0 0 0.1 0 0 0 0 ...
##   .. .. .. .. .. .. ..$ start.nu            : num 0.75
##   .. .. .. .. .. .. ..$ integer.nu          : logi FALSE
##   .. .. .. .. .. .. ..$ start.theta         : num [1:4] 3.4 -1.55 0 0
##   .. .. .. .. .. .. ..$ stationary          : logi FALSE
##   .. .. .. .. .. .. ..$ rspde.order         : num 2
##   .. .. .. .. .. .. ..$ dim                 : num 1
##   .. .. .. .. .. .. ..$ est_nu              : logi TRUE
##   .. .. .. .. .. .. ..$ nu.upper.bound      : num 1.5
##   .. .. .. .. .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. .. .. .. .. ..$ debug               : logi FALSE
##   .. .. .. .. .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. .. .. .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. .. .. .. .. ..$ fem_mesh            :List of 5
##   .. .. .. .. .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g4:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:175232] 0 1 804 805 4450 5399 5681 8781 11429 11463 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 11 23 32 41 58 76 89 98 116 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:175232] 2.12e+14 1.39e+12 8.54e+11 -8.78e+12 1.53e+10 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ parameterization    : chr "matern"
##   .. .. .. .. .. .. ..$ n.spde              : int 13932
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_inla_rspde" "bru_mapper" "list"
##   .. .. .. .. ..$ model         :List of 20
##   .. .. .. .. .. ..$ f                   :List of 3
##   .. .. .. .. .. .. ..$ model   : chr "cgeneric"
##   .. .. .. .. .. .. ..$ n       : int 41796
##   .. .. .. .. .. .. ..$ cgeneric:List of 5
##   .. .. .. .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_nonstat_general_model"
##   .. .. .. .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. ..$ n    : int 41796
##   .. .. .. .. .. .. .. ..$ debug: logi FALSE
##   .. .. .. .. .. .. .. ..$ data :List of 5
##   .. .. .. .. .. .. .. .. ..$ ints      :List of 6
##   .. .. .. .. .. .. .. .. .. ..$ n          : int 41796
##   .. .. .. .. .. .. .. .. .. ..$ debug      : int 0
##   .. .. .. .. .. .. .. .. .. ..$ graph_opt_i: int [1:186659] 0 0 0 0 0 0 0 0 0 1 ...
##   .. .. .. .. .. .. .. .. .. ..$ graph_opt_j: int [1:186659] 0 1 805 5399 5681 8781 11429 11463 13882 1 ...
##   .. .. .. .. .. .. .. .. .. ..$ rspde_order: int 2
##   .. .. .. .. .. .. .. .. .. ..$ matern_par : int 1
##   .. .. .. .. .. .. .. .. ..$ doubles   :List of 9
##   .. .. .. .. .. .. .. .. .. ..$ d                   : num 1
##   .. .. .. .. .. .. .. .. .. ..$ nu_upper_bound      : num 1.5
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu.loglocation: num -0.288
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu.logscale   : num 1
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu.mean       : num 0.75
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu.prec       : num 3
##   .. .. .. .. .. .. .. .. .. ..$ start.nu            : num 0.75
##   .. .. .. .. .. .. .. .. .. ..$ start.theta         : num [1:4] 3.4 -1.55 0 0
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean    : num [1:4] 3.4 -1.55 0 0
##   .. .. .. .. .. .. .. .. ..$ characters:List of 4
##   .. .. .. .. .. .. .. .. .. ..$ model            : chr "inla_cgeneric_rspde_nonstat_general_model"
##   .. .. .. .. .. .. .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu.dist    : chr "lognormal"
##   .. .. .. .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. .. .. .. ..$ matrices  :List of 4
##   .. .. .. .. .. .. .. .. .. ..$ rational_table  : num [1:5996] 999 6 0.001 0.412 0.005 ...
##   .. .. .. .. .. .. .. .. .. ..$ B_tau           : num [1:69662] 13932 5 -1.15 -1 0.75 ...
##   .. .. .. .. .. .. .. .. .. ..$ B_kappa         : num [1:69662] 13932 5 0.896 0 -1 ...
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec: num [1:18] 4 4 0.1 0 0 0 0 0.1 0 0 ...
##   .. .. .. .. .. .. .. .. ..$ smatrices :List of 2
##   .. .. .. .. .. .. .. .. .. ..$ C: num [1:41799] 13932 13932 13932 0 1 ...
##   .. .. .. .. .. .. .. .. .. ..$ G: num [1:132615] 13932 13932 44204 0 5681 ...
##   .. .. .. .. .. .. .. ..- attr(*, "class")= chr "inla.cgeneric"
##   .. .. .. .. .. ..$ cgeneric_type       : chr "general"
##   .. .. .. .. .. ..$ theta.prior.mean    : num [1:4] 3.4 -1.55 0 0
##   .. .. .. .. .. ..$ prior.nu            :List of 4
##   .. .. .. .. .. .. ..$ loglocation: num -0.288
##   .. .. .. .. .. .. ..$ mean       : num 0.75
##   .. .. .. .. .. .. ..$ prec       : num 3
##   .. .. .. .. .. .. ..$ logscale   : num 1
##   .. .. .. .. .. ..$ theta.prior.prec    : num [1:4, 1:4] 0.1 0 0 0 0 0.1 0 0 0 0 ...
##   .. .. .. .. .. ..$ start.nu            : num 0.75
##   .. .. .. .. .. ..$ integer.nu          : logi FALSE
##   .. .. .. .. .. ..$ start.theta         : num [1:4] 3.4 -1.55 0 0
##   .. .. .. .. .. ..$ stationary          : logi FALSE
##   .. .. .. .. .. ..$ rspde.order         : num 2
##   .. .. .. .. .. ..$ dim                 : num 1
##   .. .. .. .. .. ..$ est_nu              : logi TRUE
##   .. .. .. .. .. ..$ nu.upper.bound      : num 1.5
##   .. .. .. .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. .. .. .. ..$ debug               : logi FALSE
##   .. .. .. .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. .. .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. .. .. .. ..$ fem_mesh            :List of 5
##   .. .. .. .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g4:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:175232] 0 1 804 805 4450 5399 5681 8781 11429 11463 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 11 23 32 41 58 76 89 98 116 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:175232] 2.12e+14 1.39e+12 8.54e+11 -8.78e+12 1.53e+10 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. ..$ parameterization    : chr "matern"
##   .. .. .. .. .. ..$ n.spde              : int 13932
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
##   .. .. .. .. ..$ type          : chr "cgeneric"
##   .. .. .. .. ..$ n             : num 41796
##   .. .. .. .. ..$ values        : int [1:41796] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ group       :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : int 1
##   .. .. .. .. .. ..$ label   : chr "field.group"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 1
##   .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "exchangeable"
##   .. .. .. .. ..$ type          : chr "exchangeable"
##   .. .. .. .. ..$ n             : num 1
##   .. .. .. .. ..$ values        : int 1
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ replicate   :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : language data_rspde_bru_nonstat[["repl"]]
##   .. .. .. .. .. ..$ label   : chr "field.repl"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 4
##   .. .. .. .. .. ..$ levels        : chr [1:4] "1" "2" "3" "4"
##   .. .. .. .. .. ..$ factor_mapping: chr "full"
##   .. .. .. .. .. ..$ indexed       : logi TRUE
##   .. .. .. .. .. ..$ n             : int 4
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:4] "bru_mapper_factor_index" "bru_mapper_factor" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "iid"
##   .. .. .. .. ..$ type          : chr "iid"
##   .. .. .. .. ..$ n             : int 4
##   .. .. .. .. ..$ values        : int [1:4] 1 2 3 4
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ weights     : NULL
##   .. .. .. ..$ copy        : NULL
##   .. .. .. ..$ marginal    : NULL
##   .. .. .. ..$ env         :<environment: R_GlobalEnv> 
##   .. .. .. ..$ env_extra   :<environment: 0x63b8a4147188> 
##   .. .. .. ..$ fcall       : language "f"(field, model = BRU_field_main_model, replicate = field.repl, ngroup = 1,      nrep = 4L, values = BRU_field_values)
##   .. .. .. ..$ mapper      :List of 6
##   .. .. .. .. ..$ mappers  :List of 2
##   .. .. .. .. .. ..$ mapper:List of 9
##   .. .. .. .. .. .. ..$ mappers          :List of 3
##   .. .. .. .. .. .. .. ..$ main     :List of 1
##   .. .. .. .. .. .. .. .. ..$ model:List of 20
##   .. .. .. .. .. .. .. .. .. ..$ f                   :List of 3
##   .. .. .. .. .. .. .. .. .. .. ..$ model   : chr "cgeneric"
##   .. .. .. .. .. .. .. .. .. .. ..$ n       : int 41796
##   .. .. .. .. .. .. .. .. .. .. ..$ cgeneric:List of 5
##   .. .. .. .. .. .. .. .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_nonstat_general_model"
##   .. .. .. .. .. .. .. .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. .. .. ..$ n    : int 41796
##   .. .. .. .. .. .. .. .. .. .. .. ..$ debug: logi FALSE
##   .. .. .. .. .. .. .. .. .. .. .. ..$ data :List of 5
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ ints      :List of 6
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ n          : int 41796
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ debug      : int 0
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_i: int [1:186659] 0 0 0 0 0 0 0 0 0 1 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_j: int [1:186659] 0 1 805 5399 5681 8781 11429 11463 13882 1 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ rspde_order: int 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ matern_par : int 1
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ doubles   :List of 9
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ d                   : num 1
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ nu_upper_bound      : num 1.5
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ prior.nu.loglocation: num -0.288
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ prior.nu.logscale   : num 1
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ prior.nu.mean       : num 0.75
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ prior.nu.prec       : num 3
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ start.nu            : num 0.75
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ start.theta         : num [1:4] 3.4 -1.55 0 0
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean    : num [1:4] 3.4 -1.55 0 0
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ characters:List of 4
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ model            : chr "inla_cgeneric_rspde_nonstat_general_model"
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ prior.nu.dist    : chr "lognormal"
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ matrices  :List of 4
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ rational_table  : num [1:5996] 999 6 0.001 0.412 0.005 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ B_tau           : num [1:69662] 13932 5 -1.15 -1 0.75 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ B_kappa         : num [1:69662] 13932 5 0.896 0 -1 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec: num [1:18] 4 4 0.1 0 0 0 0 0.1 0 0 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ smatrices :List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ C: num [1:41799] 13932 13932 13932 0 1 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ G: num [1:132615] 13932 13932 44204 0 5681 ...
##   .. .. .. .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr "inla.cgeneric"
##   .. .. .. .. .. .. .. .. .. ..$ cgeneric_type       : chr "general"
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean    : num [1:4] 3.4 -1.55 0 0
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu            :List of 4
##   .. .. .. .. .. .. .. .. .. .. ..$ loglocation: num -0.288
##   .. .. .. .. .. .. .. .. .. .. ..$ mean       : num 0.75
##   .. .. .. .. .. .. .. .. .. .. ..$ prec       : num 3
##   .. .. .. .. .. .. .. .. .. .. ..$ logscale   : num 1
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec    : num [1:4, 1:4] 0.1 0 0 0 0 0.1 0 0 0 0 ...
##   .. .. .. .. .. .. .. .. .. ..$ start.nu            : num 0.75
##   .. .. .. .. .. .. .. .. .. ..$ integer.nu          : logi FALSE
##   .. .. .. .. .. .. .. .. .. ..$ start.theta         : num [1:4] 3.4 -1.55 0 0
##   .. .. .. .. .. .. .. .. .. ..$ stationary          : logi FALSE
##   .. .. .. .. .. .. .. .. .. ..$ rspde.order         : num 2
##   .. .. .. .. .. .. .. .. .. ..$ dim                 : num 1
##   .. .. .. .. .. .. .. .. .. ..$ est_nu              : logi TRUE
##   .. .. .. .. .. .. .. .. .. ..$ nu.upper.bound      : num 1.5
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. .. .. .. .. .. .. .. ..$ debug               : logi FALSE
##   .. .. .. .. .. .. .. .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. .. .. .. .. .. .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. .. .. .. .. .. .. .. ..$ fem_mesh            :List of 5
##   .. .. .. .. .. .. .. .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g4:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:175232] 0 1 804 805 4450 5399 5681 8781 11429 11463 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 11 23 32 41 58 76 89 98 116 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:175232] 2.12e+14 1.39e+12 8.54e+11 -8.78e+12 1.53e+10 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. ..$ parameterization    : chr "matern"
##   .. .. .. .. .. .. .. .. .. ..$ n.spde              : int 13932
##   .. .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_inla_rspde" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ group    :List of 1
##   .. .. .. .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ replicate:List of 4
##   .. .. .. .. .. .. .. .. ..$ levels        : chr [1:4] "1" "2" "3" "4"
##   .. .. .. .. .. .. .. .. ..$ factor_mapping: chr "full"
##   .. .. .. .. .. .. .. .. ..$ indexed       : logi TRUE
##   .. .. .. .. .. .. .. .. ..$ n             : int 4
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:4] "bru_mapper_factor_index" "bru_mapper_factor" "bru_mapper" "list"
##   .. .. .. .. .. .. ..$ n_multi          :List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 41796
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: int 4
##   .. .. .. .. .. .. ..$ n_inla_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 41796
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: int 4
##   .. .. .. .. .. .. ..$ values_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : int [1:41796] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int [1:4] 1 2 3 4
##   .. .. .. .. .. .. ..$ values_inla_multi:List of 3
##   .. .. .. .. .. .. .. ..$ main     : int [1:41796] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int [1:4] 1 2 3 4
##   .. .. .. .. .. .. ..$ is_linear_multi  :List of 3
##   .. .. .. .. .. .. .. ..$ main     : logi TRUE
##   .. .. .. .. .. .. .. ..$ group    : logi TRUE
##   .. .. .. .. .. .. .. ..$ replicate: logi TRUE
##   .. .. .. .. .. .. ..$ n                : num 167184
##   .. .. .. .. .. .. ..$ n_inla           : num 167184
##   .. .. .. .. .. .. ..$ is_linear        : logi TRUE
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_multi" "bru_mapper" "list"
##   .. .. .. .. .. ..$ scale : list()
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_scale" "bru_mapper" "list"
##   .. .. .. .. ..$          : Named logi [1:2] TRUE TRUE
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ is_linear: logi TRUE
##   .. .. .. .. ..$ n_multi  : Named int [1:2] 167184 NA
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ n        : num 167184
##   .. .. .. .. ..$ names    : chr [1:2] "mapper" "scale"
##   .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_pipe" "bru_mapper" "list"
##   .. .. .. ..- attr(*, "class")= chr [1:2] "component" "list"
##   .. .. ..- attr(*, "class")= chr [1:2] "component_list" "list"
##   .. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
##   .. ..$ formula:Class 'formula'  language BRU_response ~ f(Intercept, model = BRU_Intercept_main_model, ngroup = 1,      nrep = 1, values = BRU_Intercept_v| __truncated__ ...
##   .. .. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
##   .. ..- attr(*, "class")= chr [1:2] "bru_model" "list"
##   ..$ lhoods         :List of 1
##   .. ..$ :List of 17
##   .. .. ..$ family        : chr "gaussian"
##   .. .. ..$ formula       :Class 'formula'  language speed ~ .
##   .. .. .. .. ..- attr(*, ".Environment")=<environment: 0x63b8a4f37ee8> 
##   .. .. ..$ response_data :List of 4
##   .. .. .. ..$ BRU_response: num [1:25842] 99.8 91.7 99.8 14.5 16.1 ...
##   .. .. .. ..$ BRU_E       : num 1
##   .. .. .. ..$ BRU_Ntrials : num 1
##   .. .. .. ..$ BRU_scale   : num 1
##   .. .. ..$ data          :List of 8
##   .. .. .. ..$ speed            : num [1:25842] 99.8 91.7 99.8 14.5 16.1 ...
##   .. .. .. ..$ SpeedLimit       : num [1:25842] 4.09 4.09 4.09 -1.04 -1.04 ...
##   .. .. .. ..$ .coord_x         : num [1:25842] -122 -122 -122 -122 -122 ...
##   .. .. .. ..$ .coord_y         : num [1:25842] 37.7 37.7 37.7 37.8 37.8 ...
##   .. .. .. ..$ .edge_number     : num [1:25842] 2 2 2 3 3 3 5 6 6 6 ...
##   .. .. .. ..$ .distance_on_edge: num [1:25842] 0.195 0.227 0.363 0.309 0.583 ...
##   .. .. .. ..$ .group           : chr [1:25842] "1" "1" "1" "1" ...
##   .. .. .. ..$ loc              : num [1:25842, 1:2] 2 2 2 3 3 3 5 6 6 6 ...
##   .. .. .. ..- attr(*, "class")= chr [1:2] "metric_graph_data" "list"
##   .. .. ..$ E             : num 1
##   .. .. ..$ Ntrials       : num 1
##   .. .. ..$ weights       : num 1
##   .. .. ..$ scale         : num 1
##   .. .. ..$ samplers      : NULL
##   .. .. ..$ linear        : logi TRUE
##   .. .. ..$ expr          : NULL
##   .. .. ..$ response      : chr "BRU_response"
##   .. .. ..$ inla.family   : chr "gaussian"
##   .. .. ..$ domain        : NULL
##   .. .. ..$ used          :List of 2
##   .. .. .. ..$ effect: chr [1:3] "Intercept" "SpeedLimit" "field"
##   .. .. .. ..$ latent: chr(0) 
##   .. .. .. ..- attr(*, "class")= chr "bru_used"
##   .. .. ..$ allow_combine : logi TRUE
##   .. .. ..$ control.family: NULL
##   .. .. ..- attr(*, "class")= chr [1:2] "bru_like" "list"
##   .. ..- attr(*, "class")= chr [1:2] "bru_like_list" "list"
##   ..$ options        :List of 14
##   .. ..$ bru_verbose      : num 0
##   .. ..$ bru_verbose_store: num Inf
##   .. ..$ bru_max_iter     : num 1
##   .. ..$ bru_run          : logi TRUE
##   .. ..$ bru_int_args     :List of 3
##   .. .. ..$ method: chr "stable"
##   .. .. ..$ nsub1 : num 30
##   .. .. ..$ nsub2 : num 9
##   .. ..$ bru_method       :List of 6
##   .. .. ..$ taylor         : chr "pandemic"
##   .. .. ..$ search         : chr "all"
##   .. .. ..$ factor         : num 1.62
##   .. .. ..$ rel_tol        : num 0.1
##   .. .. ..$ max_step       : num 2
##   .. .. ..$ line_opt_method: chr "onestep"
##   .. ..$ bru_compress_cp  : logi TRUE
##   .. ..$ bru_debug        : logi FALSE
##   .. ..$ E                : num 1
##   .. ..$ Ntrials          : num 1
##   .. ..$ control.compute  :List of 3
##   .. .. ..$ config: logi TRUE
##   .. .. ..$ dic   : logi TRUE
##   .. .. ..$ waic  : logi TRUE
##   .. ..$ control.inla     :List of 1
##   .. .. ..$ int.strategy: chr "auto"
##   .. ..$ control.fixed    :List of 1
##   .. .. ..$ expand.factor.strategy: chr "inla"
##   .. ..$ verbose          : logi FALSE
##   .. ..- attr(*, "class")= chr [1:2] "bru_options" "list"
##   ..$ inlabru_version: Named chr "2.10.1.9007"
##   .. ..- attr(*, "names")= chr "version"
##   ..$ INLA_version   : Named chr "24.05.18-2"
##   .. ..- attr(*, "names")= chr "version"
##   ..- attr(*, "class")= chr [1:2] "bru_info" "list"
##  - attr(*, "class")= chr [1:3] "bru" "iinla" "inla"
nonstat.time.fin <- Sys.time()
print(nonstat.time.fin - nonstat.time.ini)
## Time difference of 20.17023 mins
summary(rspde_fit_nonstat)
## inlabru version: 2.10.1.9007
## INLA version: 24.05.18-2
## Components:
## Intercept: main = linear(1), group = exchangeable(1L), replicate = iid(1L)
## SpeedLimit: main = linear(SpeedLimit), group = exchangeable(1L), replicate = iid(1L)
## field: main = cgeneric(loc), group = exchangeable(1L), replicate = iid(data_rspde_bru_nonstat[["repl"]])
## Likelihoods:
##   Family: 'gaussian'
##     Data class: 'metric_graph_data', 'list'
##     Predictor: speed ~ .
## Time used:
##     Pre = 0.231, Running = 926, Post = 10.1, Total = 936 
## Fixed effects:
##              mean    sd 0.025quant 0.5quant 0.975quant   mode kld
## Intercept  29.751 0.301     29.165   29.750     30.345 29.750   0
## SpeedLimit  6.555 0.196      6.173    6.555      6.937  6.555   0
## 
## Random effects:
##   Name     Model
##     field CGeneric
## 
## Model hyperparameters:
##                                           mean    sd 0.025quant 0.5quant
## Precision for the Gaussian observations  0.009 0.000      0.009    0.009
## Theta1 for field                         2.534 0.013      2.510    2.534
## Theta2 for field                        -1.280 0.038     -1.354   -1.280
## Theta3 for field                         0.018 0.010     -0.001    0.018
## Theta4 for field                        -0.002 0.013     -0.028   -0.002
## Theta5 for field                        -2.241 0.042     -2.320   -2.242
##                                         0.975quant   mode
## Precision for the Gaussian observations      0.009  0.009
## Theta1 for field                             2.559  2.534
## Theta2 for field                            -1.203 -1.282
## Theta3 for field                             0.038  0.016
## Theta4 for field                             0.023 -0.001
## Theta5 for field                            -2.155 -2.247
## 
## Deviance Information Criterion (DIC) ...............: 202328.52
## Deviance Information Criterion (DIC, saturated) ....: 32717.20
## Effective number of parameters .....................: 6859.74
## 
## Watanabe-Akaike information criterion (WAIC) ...: 202706.32
## Effective number of parameters .................: 5884.62
## 
## Marginal log-Likelihood:  -104381.74 
##  is computed 
## Posterior summaries for the linear predictor and the fitted values are computed
## (Posterior marginals needs also 'control.compute=list(return.marginals.predictor=TRUE)')
summary(rspde.result(rspde_fit_nonstat, "field", rspde_model_nonstat))
##                      mean         sd  0.025quant   0.5quant 0.975quant
## Theta1.matern  2.53413000 0.01258530  2.50967000  2.5340200  2.5592200
## Theta2.matern -1.27989000 0.03846540 -1.35433000 -1.2803200 -1.2028800
## Theta3.matern  0.01777200 0.00978872 -0.00077961  0.0175366  0.0377389
## Theta4.matern -0.00225684 0.01291840 -0.02831880 -0.0020436  0.0225362
## nu             0.14433700 0.00545325  0.13435000  0.1440760  0.1557130
##                      mode
## Theta1.matern  2.53357000
## Theta2.matern -1.28218000
## Theta3.matern  0.01649190
## Theta4.matern -0.00112231
## nu             0.14332000

1.3 Crossvalidation 1

#load(here("Models_output/distmatrixfixed.RData"))

points = data %>%
  as.data.frame() %>%
  st_as_sf(coords = c(".coord_x", ".coord_y"), crs = 4326) %>%
  mutate(., index = 1:nrow(.)) %>% 
  st_drop_geometry() %>%
  dplyr:::select(speed, .group, index) %>%
  mutate(.group = as.numeric(.group)) %>%
  group_by(.group) %>%
  mutate(indexingroup = seq_len(n())) %>%
  ungroup()

distance = seq(from = 0, to = 200, by = 20)/1000

The code of chunk below was executed only one time.


{r}
load(here("Models_output/distmatrixfixed_19May24.RData"))

points = data %>%
  as.data.frame() %>%
  st_as_sf(coords = c(".coord_x", ".coord_y"), crs = 4326) %>%
  mutate(., index = 1:nrow(.)) %>% 
  st_drop_geometry() %>%
  dplyr:::select(speed, .group, index) %>%
  mutate(.group = as.numeric(.group)) %>%
  group_by(.group) %>%
  mutate(indexingroup = seq_len(n())) %>%
  ungroup()

distance = seq(from = 0, to = 200, by = 20)/1000

GROUPS <- list()
for (j in 1:length(distance)) {
  print(j)
  GROUPS[[j]] = list()
  for (i in 1:nrow(points)) {
    rowi = points[i, ]
    GROUPS[[j]][[i]] <- which(as.vector(distmatrixlist[[rowi$.group]][rowi$indexingroup,]) <= distance[j])
  }
}
save(GROUPS, file = here("Models_output/GROUPS_19May24.RData"))

The code of chunk above was executed only one time.


load(here("Models_output/GROUPS_19May24.RData"))
mse.stat <- mse.nonstat <- ls.stat <- ls.nonstat <- rep(0,length(distance))
# cross-validation for-loop
for (j in 1:length(distance)) {
  print(j)
  # cross-validation of the stationary model
  cv.stat <- inla.group.cv(rspde_fit_stat, groups = GROUPS[[j]])
  # cross-validation of the nonstationary model
  cv.nonstat <- inla.group.cv(rspde_fit_nonstat, groups = GROUPS[[j]])
  # obtain MSE and LS
  mse.stat[j] <- mean((cv.stat$mean - points$speed)^2)
  mse.nonstat[j] <- mean((cv.nonstat$mean - points$speed)^2)
  ls.stat[j] <- mean(log(cv.stat$cv))
  ls.nonstat[j] <- mean(log(cv.nonstat$cv))
}
## [1] 1
## [1] 2
## [1] 3
## [1] 4
## [1] 5
## [1] 6
## [1] 7
## [1] 8
## [1] 9
## [1] 10
## [1] 11

## plot results
par(mfrow = c(2,2), family = "Palatino")

# Plot MSE
plot(distance, mse.stat, main = "MSE", ylim = c(min(mse.nonstat, mse.stat), max(mse.nonstat, mse.stat)),
     type = "l", ylab = "MSE", xlab = "distance in m", col = "black")
lines(distance, mse.nonstat, col = "blue")
legend("bottomright", legend = c("Stationary", "Non-stationary"), col = c("black", "blue"), lty = 1)

# Plot log-score
plot(distance, -ls.stat, main = "log-score", ylim = c(min(-ls.nonstat, -ls.stat), max(-ls.nonstat, -ls.stat)),
     type = "l", ylab = "log-score", xlab = "distance in m", col = "black")
lines(distance, -ls.nonstat, col = "blue")
legend("bottomright", legend = c("Stationary", "Non-stationary"), col = c("black", "blue"), lty = 1)

finaltimeallprocedure <- Sys.time()
print(finaltimeallprocedure - timeallprocedure)
## Time difference of 34.835 mins
save.image(here(paste0("Models_output/", rmarkdown::metadata$title, ".RData")))